有限数学示例

$x = y^{2} - z^{2}$

解题步骤 1

求解 $y$ 的方程。

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解题步骤 1.1

将方程重写为 $y^{2} - z^{2} = x$ 。

$y^{2} - z^{2} = x$

解题步骤 1.2

在等式两边都加上 $z^{2}$ 。

$y^{2} = x + z^{2}$

解题步骤 1.3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$y = \pm \sqrt{x + z^{2}}$

解题步骤 1.4

完全解为同时包括解的正数和负数部分的结果。

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解题步骤 1.4.1

首先，利用 $\pm$ 的正值求第一个解。

$y = \sqrt{x + z^{2}}$

解题步骤 1.4.2

下一步，使用 $\pm$ 的负值来求第二个解。

$y = - \sqrt{x + z^{2}}$

解题步骤 1.4.3

完全解为同时包括解的正数和负数部分的结果。

$y = \sqrt{x + z^{2}}$

$y = - \sqrt{x + z^{2}}$

$y = \sqrt{x + z^{2}}$

$y = - \sqrt{x + z^{2}}$

$y = \sqrt{x + z^{2}}$

$y = - \sqrt{x + z^{2}}$

解题步骤 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of the variable in the equation violates the linear equation definition, which means that the equation is not a linear equation.

非线性

有限数学 示例

有限数学示例