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受欢迎的代数 >

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

解答

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

解答

x = \frac{1}{4}, x = - 6

+1

十进制

x = 0.25, x = - 6

求解步骤

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

展开

(3 x + 2) (2 x + 3) : 6 x^{2} + 13 x + 6

展开

(x - 3) (2 x - 4) : 2 x^{2} - 10 x + 12

6 x^{2} + 13 x + 6 = 2 x^{2} - 10 x + 12

将

12

para o lado esquerdo

6 x^{2} + 13 x - 6 = 2 x^{2} - 10 x

将

10 x

para o lado esquerdo

6 x^{2} + 23 x - 6 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

4 x^{2} + 23 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 23 \pm 2 3 ^{2} - 4 \cdot 4 ( - 6 )}{2 \cdot 4}

2 3^{2} - 4 \cdot 4 (- 6) = 25

x_{1, 2} = \frac{- 23 \pm 25}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 23 + 25}{2 \cdot 4}, x_{2} = \frac{- 23 - 25}{2 \cdot 4}

x = \frac{- 23 + 25}{2 \cdot 4} : \frac{1}{4}

x = \frac{- 23 - 25}{2 \cdot 4} : - 6

二次方程组的解是:

x = \frac{1}{4}, x = - 6

作图

流行的例子

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