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受欢迎的代数 >

0=x^3+2x^2-4x-8

解答

0 = x^{3} + 2 x^{2} - 4 x - 8

解答

x = - 2, x = 2

求解步骤

0 = x^{3} + 2 x^{2} - 4 x - 8

交换两边

x^{3} + 2 x^{2} - 4 x - 8 = 0

因式分解

x^{3} + 2 x^{2} - 4 x - 8 : (x + 2)^{2} (x - 2)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 2 = 0 or x - 2 = 0

解

x + 2 = 0 : x = - 2

解

x - 2 = 0 : x = 2

解为

x = - 2, x = 2

作图

流行的例子

solvefor x,y+3=x^3

so l v e f or x, y + 3 = x^{3}

solvefor x,y^4=-x^4

so l v e f or x, y^{4} = - x^{4}

s^3+132s^2+1540s+12000=0

s^{3} + 132 s^{2} + 1540 s + 12000 = 0

3x^{36}-140x+137=0

3 x^{36} - 140 x + 137 = 0

x^{7} = 2