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受欢迎的代数 >

5x^4=2560x

解答

5 x^{4} = 2560 x

解答

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

求解步骤

5 x^{4} = 2560 x

将

2560 x

para o lado esquerdo

5 x^{4} - 2560 x = 0

因式分解

5 x^{4} - 2560 x : 5 x (x - 8) (x^{2} + 8 x + 64)

5 x (x - 8) (x^{2} + 8 x + 64) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 8 = 0 or x^{2} + 8 x + 64 = 0

解

x - 8 = 0 : x = 8

解

x^{2} + 8 x + 64 = 0 : x = - 4 + 43 i, x = - 4 - 43 i

解为

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

作图

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