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受欢迎的代数 >

(x+3)(x^2+2x+6)=-(x+3)(x-4)

解答

(x + 3) (x^{2} + 2 x + 6) = - (x + 3) (x - 4)

解答

x = - 3, x = - 1, x = - 2

求解步骤

(x + 3) (x^{2} + 2 x + 6) = - (x + 3) (x - 4)

将

(x + 3) (x - 4)

para o lado esquerdo

(x + 3) (x^{2} + 2 x + 6) + (x + 3) (x - 4) = 0

因式分解

(x + 3) (x^{2} + 2 x + 6) + (x + 3) (x - 4) : (x + 3) (x + 1) (x + 2)

(x + 3) (x + 1) (x + 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or x + 1 = 0 or x + 2 = 0

解

x + 3 = 0 : x = - 3

解

x + 1 = 0 : x = - 1

解

x + 2 = 0 : x = - 2

解为

x = - 3, x = - 1, x = - 2

作图

流行的例子

2x^3+6x^2-2x-6=0

2 x^{3} + 6 x^{2} - 2 x - 6 = 0

2 x^{2} - 8 x^{3} = 8

x^{4} + 16 x^{2} = 0

x^{4} - 10 x^{2} - 9 = 0

x^{5} + x^{3} = 0