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受欢迎的代数 >

5x^4=135x

解答

5 x^{4} = 135 x

解答

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

求解步骤

5 x^{4} = 135 x

将

135 x

para o lado esquerdo

5 x^{4} - 135 x = 0

因式分解

5 x^{4} - 135 x : 5 x (x - 3) (x^{2} + 3 x + 9)

5 x (x - 3) (x^{2} + 3 x + 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 3 = 0 or x^{2} + 3 x + 9 = 0

解

x - 3 = 0 : x = 3

解

x^{2} + 3 x + 9 = 0 : x = - \frac{3}{2} + i \frac{3 3}{2}, x = - \frac{3}{2} - i \frac{3 3}{2}

解为

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

作图

流行的例子

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