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受欢迎的代数 >

solvefor a,a^4b+2c^5=d^1e

解答

求解

a, a^{4} b + 2 c^{5} = d^{1} e

解答

a = 4 \frac{e d - 2 c ^{5}}{b}, a = - 4 \frac{e d - 2 c ^{5}}{b}, a = i 4 \frac{e d - 2 c ^{5}}{b}, a = - i 4 \frac{e d - 2 c ^{5}}{b}

求解步骤

a^{4} b + 2 c^{5} = d^{1} e

将

2 c^{5}

到右边

a^{4} b = e d - 2 c^{5}

两边除以

b; b \neq = 0

a^{4} = \frac{e d - 2 c ^{5}}{b}; b \neq = 0

用

u = a^{2}

和

u^{2} = a^{4}

改写方程式

u^{2} = \frac{e d - 2 c ^{5}}{b}

解

u^{2} = \frac{e d - 2 c ^{5}}{b} : u = \frac{e d - 2 c ^{5}}{b}, u = - \frac{e d - 2 c ^{5}}{b}

u = \frac{e d - 2 c ^{5}}{b}, u = - \frac{e d - 2 c ^{5}}{b}

代回

u = a^{2}

，求解

a

解

a^{2} = \frac{e d - 2 c ^{5}}{b} : a = 4 \frac{e d - 2 c ^{5}}{b}, a = - 4 \frac{e d - 2 c ^{5}}{b}

解

a^{2} = - \frac{e d - 2 c ^{5}}{b} : a = i 4 \frac{e d - 2 c ^{5}}{b}, a = - i 4 \frac{e d - 2 c ^{5}}{b}

解为

a = 4 \frac{e d - 2 c ^{5}}{b}, a = - 4 \frac{e d - 2 c ^{5}}{b}, a = i 4 \frac{e d - 2 c ^{5}}{b}, a = - i 4 \frac{e d - 2 c ^{5}}{b}

作图

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