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受欢迎的代数 >

2(x+3)(x+2)+5=(x+3)(x+1)+6

解答

2 (x + 3) (x + 2) + 5 = (x + 3) (x + 1) + 6

解答

x = - 2, x = - 4

求解步骤

2 (x + 3) (x + 2) + 5 = (x + 3) (x + 1) + 6

展开

2 (x + 3) (x + 2) + 5 : 2 x^{2} + 10 x + 17

展开

(x + 3) (x + 1) + 6 : x^{2} + 4 x + 9

2 x^{2} + 10 x + 17 = x^{2} + 4 x + 9

将

9

para o lado esquerdo

2 x^{2} + 10 x + 8 = x^{2} + 4 x

将

4 x

para o lado esquerdo

2 x^{2} + 6 x + 8 = x^{2}

将

x^{2}

para o lado esquerdo

x^{2} + 6 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot 8 = 2

x_{1, 2} = \frac{- 6 \pm 2}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 6 + 2}{2 \cdot 1}, x_{2} = \frac{- 6 - 2}{2 \cdot 1}

x = \frac{- 6 + 2}{2 \cdot 1} : - 2

x = \frac{- 6 - 2}{2 \cdot 1} : - 4

二次方程组的解是:

x = - 2, x = - 4

作图

流行的例子

a(b-c)x^2+b(c-a)x+c(a-b)=0

a (b - c) x^{2} + b (c - a) x + c (a - b) = 0

2 x^{2} = 4 x + 1

sqrt(2)x^2+2sqrt(2)x=0

2 x^{2} + 22 x = 0

(2 x - 1) (x - 5) = 0

-11=0.039x^2-0.9675x

- 11 = 0.039 x^{2} - 0.9675 x