在线求解线性方程

甲一级方程式具有以下形式的公式一个X = b${\displaystyle \mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">一种</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">b</font></font>}}$。这种类型的方程式也称为线性方程式。为了解决这些方程，我们使用以下公式x =b一种${\displaystyle \mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\frac{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">b</font></font>}}{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">一种</font></font>}}}$。

形式为ax = bs的线性方程组求解非常快，当变量不是模棱两可时，只需输入方程式进行求解，然后单击求解，则结果由求解器返回。还显示导致线性方程式分解的计算详细信息。要求解3x + 5 = 0之后的线性方程，只需 在计算区域中键入表达式 3x + 5 = 0，然后单击“解决”按钮，即可返回结果[ x = -53]${\displaystyle <font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">[</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">--</font></font>\frac{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">5</font></font>}}{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">3</font></font>}}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">]</font></font>}$。也可以解方程的形式

一个X + C ^G（x ）= 0${\displaystyle \frac{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">一种</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">+</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">C</font></font>}}{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">G</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">（</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">）</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">0</font></font>}}$或方程式，g（x）代表一个函数。输入不带'='符号的表达式时；当表达式的可能值为零时，该函数返回。例如，输入x + 5并求解回x + 5 = 0并求解。

两边都有变量的方程

计算器可以求解两侧带有变量的方程式，如下所示： 3 x + 5 = 2 x${\displaystyle \mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">3</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">+</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">5</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">2</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}}$，只需输入3x + 5 = 2x即可得到结果。

带括号的方程

计算器可以使用如下括号来求解方程： 6 ⋅ （3 X + 5 ） = 5 ⋅ （2 X + 3 ）${\displaystyle \mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">6</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">\cdot </font></font><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">（</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">3</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">+</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">5</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">）</font></font><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">5</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">\cdot </font></font><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">（</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">2</font></font>}\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">+</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">3</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">）</font></font>}$，只需输入6 *（3x + 5）= 5 *（2x + 3）即可得到结果。

分母中带有变量的方程

• x − 1X2− 1= 0${\displaystyle \frac{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">--</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">1个</font></font>}}{{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}}^{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">2</font></font>}}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">--</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">1个</font></font>}}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">0</font></font>}}$返回消息无解，计算时考虑了域定义，分子承认x = 1为根，但x = 1的分母为零，因此1不能作为方程式解。该方程式不允许解。
• equation_solver（1个x + 1= 3 ）${\displaystyle <font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">（</font></font>\frac{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">1个</font></font>}}{\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">X</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">+</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">1个</font></font>}}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">=</font></font>\mathrm{<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">3</font></font>}<font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;"><font\; style="box-sizing:\; border-box;\; transition:\; none\; 0s\; ease\; 0s;\; vertical-align:\; inherit;">）</font></font>}$ 退货 [ -23]