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受欢迎的代数 >

x^3+x^2-56x+144=0

解答

x^{3} + x^{2} - 56 x + 144 = 0

解答

x = 4, x = - 9

求解步骤

x^{3} + x^{2} - 56 x + 144 = 0

因式分解

x^{3} + x^{2} - 56 x + 144 : (x - 4)^{2} (x + 9)

(x - 4)^{2} (x + 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 4 = 0 or x + 9 = 0

解

x - 4 = 0 : x = 4

解

x + 9 = 0 : x = - 9

解为

x = 4, x = - 9

作图

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