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受欢迎的代数 >

2x=x^4

解答

2 x = x^{4}

解答

x = 0, x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

求解步骤

2 x = x^{4}

交换两边

x^{4} = 2 x

将

2 x

para o lado esquerdo

x^{4} - 2 x = 0

因式分解

x^{4} - 2 x : x (x^{3} - 2)

x (x^{3} - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x^{3} - 2 = 0

解

x^{3} - 2 = 0 : x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

解为

x = 0, x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

作图

流行的例子

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