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受欢迎的代数 >

8x^4=x

解答

8 x^{4} = x

解答

x = 0, x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

求解步骤

8 x^{4} = x

将

x

para o lado esquerdo

8 x^{4} - x = 0

因式分解

8 x^{4} - x : x (8 x^{3} - 1)

x (8 x^{3} - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 8 x^{3} - 1 = 0

解

8 x^{3} - 1 = 0 : x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

解为

x = 0, x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

作图

流行的例子

x^{5} + (2 - x)^{5} = 82

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(x+2)^4+(x+4)^4=2

(x + 2)^{4} + (x + 4)^{4} = 2