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受欢迎的代数 >

x^3+15x^2+71x+105=0

解答

x^{3} + 15 x^{2} + 71 x + 105 = 0

解答

x = - 3, x = - 5, x = - 7

求解步骤

x^{3} + 15 x^{2} + 71 x + 105 = 0

因式分解

x^{3} + 15 x^{2} + 71 x + 105 : (x + 3) (x + 5) (x + 7)

(x + 3) (x + 5) (x + 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or x + 5 = 0 or x + 7 = 0

解

x + 3 = 0 : x = - 3

解

x + 5 = 0 : x = - 5

解

x + 7 = 0 : x = - 7

解为

x = - 3, x = - 5, x = - 7

作图

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x^{4} + 30 x^{2} - 400 = 198 x^{2}

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