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受欢迎的代数 >

3x-2=2(x-3)(2x-2)

解答

3 x - 2 = 2 (x - 3) (2 x - 2)

解答

x = \frac{19 + 137}{8}, x = \frac{19 - 137}{8}

+1

十进制

x = 3.83808 \dots, x = 0.91191 \dots

求解步骤

3 x - 2 = 2 (x - 3) (2 x - 2)

展开

2 (x - 3) (2 x - 2) : 4 x^{2} - 16 x + 12

3 x - 2 = 4 x^{2} - 16 x + 12

交换两边

4 x^{2} - 16 x + 12 = 3 x - 2

将

2

para o lado esquerdo

4 x^{2} - 16 x + 14 = 3 x

将

3 x

para o lado esquerdo

4 x^{2} - 19 x + 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 4 \cdot 14}{2 \cdot 4}

(- 19)^{2} - 4 \cdot 4 \cdot 14 = 137

x_{1, 2} = \frac{- ( - 19 ) \pm 137}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 19 ) + 137}{2 \cdot 4}, x_{2} = \frac{- ( - 19 ) - 137}{2 \cdot 4}

x = \frac{- ( - 19 ) + 137}{2 \cdot 4} : \frac{19 + 137}{8}

x = \frac{- ( - 19 ) - 137}{2 \cdot 4} : \frac{19 - 137}{8}

二次方程组的解是:

x = \frac{19 + 137}{8}, x = \frac{19 - 137}{8}

作图

流行的例子

x^{2} + 2 x = 20

x^{2} + 2 x = - 8

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

solvefor x,y=ax^2

so l v e f or x, y = a x^{2}

6 x^{2} + 23 x - 18 = 0