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受欢迎的代数 >

x^3+x^2-36x-36=0

解答

x^{3} + x^{2} - 36 x - 36 = 0

解答

x = - 1, x = - 6, x = 6

求解步骤

x^{3} + x^{2} - 36 x - 36 = 0

因式分解

x^{3} + x^{2} - 36 x - 36 : (x + 1) (x + 6) (x - 6)

(x + 1) (x + 6) (x - 6) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x + 6 = 0 or x - 6 = 0

解

x + 1 = 0 : x = - 1

解

x + 6 = 0 : x = - 6

解

x - 6 = 0 : x = 6

解为

x = - 1, x = - 6, x = 6

作图

流行的例子

x^3-11x^2+38x-44=0

x^{3} - 11 x^{2} + 38 x - 44 = 0

solvefor x,y^2=2x^4+6

so l v e f or x, y^{2} = 2 x^{4} + 6

x^{5} = 64

3 x^{2} = 9 x^{3}

(x+2)^4=(x-10)^2

(x + 2)^{4} = (x - 10)^{2}