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受欢迎的代数 >

x^3+4x^2=360

解答

x^{3} + 4 x^{2} = 360

解答

x = 6, x = - 5 + 35 i, x = - 5 - 35 i

求解步骤

x^{3} + 4 x^{2} = 360

将

360

para o lado esquerdo

x^{3} + 4 x^{2} - 360 = 0

因式分解

x^{3} + 4 x^{2} - 360 : (x - 6) (x^{2} + 10 x + 60)

(x - 6) (x^{2} + 10 x + 60) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 6 = 0 or x^{2} + 10 x + 60 = 0

解

x - 6 = 0 : x = 6

解

x^{2} + 10 x + 60 = 0 : x = - 5 + 35 i, x = - 5 - 35 i

解为

x = 6, x = - 5 + 35 i, x = - 5 - 35 i

作图

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