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受欢迎的代数 >

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

解答

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

解答

x = \frac{5}{2}, x = - 2

+1

十进制

x = 2.5, x = - 2

求解步骤

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

展开

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

2 x^{2} - x - 6 = 4

将

4

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 ( - 10 )}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 (- 10) = 9

x_{1, 2} = \frac{- ( - 1 ) \pm 9}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 9}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 9}{2 \cdot 2}

x = \frac{- ( - 1 ) + 9}{2 \cdot 2} : \frac{5}{2}

x = \frac{- ( - 1 ) - 9}{2 \cdot 2} : - 2

二次方程组的解是:

x = \frac{5}{2}, x = - 2

作图

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