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受欢迎的代数 >

x^3-11x^2+31x-21=0

解答

x^{3} - 11 x^{2} + 31 x - 21 = 0

解答

x = 1, x = 3, x = 7

求解步骤

x^{3} - 11 x^{2} + 31 x - 21 = 0

因式分解

x^{3} - 11 x^{2} + 31 x - 21 : (x - 1) (x - 3) (x - 7)

(x - 1) (x - 3) (x - 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or x - 3 = 0 or x - 7 = 0

解

x - 1 = 0 : x = 1

解

x - 3 = 0 : x = 3

解

x - 7 = 0 : x = 7

解为

x = 1, x = 3, x = 7

作图

流行的例子

x^6+126x^3+125=0

x^{6} + 126 x^{3} + 125 = 0

16x^3-16x^2+3=0

16 x^{3} - 16 x^{2} + 3 = 0

因式分解 x^8-17x^4+16=0

f a c t or x^{8} - 17 x^{4} + 16 = 0

72 x^{7} - 504 x^{6} = 0

x+3=x^3+10x^2+28x+21

x + 3 = x^{3} + 10 x^{2} + 28 x + 21