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受欢迎的代数 >

solvefor z,A=(pz^4)/T

解答

求解

z, A = \frac{p z ^{4}}{T}

解答

z = \frac{A T}{p}, z = - \frac{A T}{p}, z = i 4 \frac{A T}{p}, z = - i 4 \frac{A T}{p}

求解步骤

A = \frac{p z ^{4}}{T}

交换两边

\frac{p z ^{4}}{T} = A

在两边乘以

T

p z^{4} = A T; T \neq = 0

两边除以

p; T \neq = 0, p \neq = 0

z^{4} = \frac{A T}{p}; T \neq = 0, p \neq = 0

用

u = z^{2}

和

u^{2} = z^{4}

改写方程式

u^{2} = \frac{A T}{p}

解

u^{2} = \frac{A T}{p} : u = \frac{A T}{p}, u = - \frac{A T}{p}

u = \frac{A T}{p}, u = - \frac{A T}{p}

代回

u = z^{2}

，求解

z

解

z^{2} = \frac{A T}{p} : z = \frac{A T}{p}, z = - \frac{A T}{p}

解

z^{2} = - \frac{A T}{p} : z = i 4 \frac{A T}{p}, z = - i 4 \frac{A T}{p}

解为

z = \frac{A T}{p}, z = - \frac{A T}{p}, z = i 4 \frac{A T}{p}, z = - i 4 \frac{A T}{p}

作图

流行的例子

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