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受欢迎的代数 >

(2x-3)(x+5)=7

解答

(2 x - 3) (x + 5) = 7

解答

x = 2, x = - \frac{11}{2}

+1

十进制

x = 2, x = - 5.5

求解步骤

(2 x - 3) (x + 5) = 7

展开

(2 x - 3) (x + 5) : 2 x^{2} + 7 x - 15

2 x^{2} + 7 x - 15 = 7

将

7

para o lado esquerdo

2 x^{2} + 7 x - 22 = 0

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 ( - 22 )}{2 \cdot 2}

7^{2} - 4 \cdot 2 (- 22) = 15

x_{1, 2} = \frac{- 7 \pm 15}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 7 + 15}{2 \cdot 2}, x_{2} = \frac{- 7 - 15}{2 \cdot 2}

x = \frac{- 7 + 15}{2 \cdot 2} : 2

x = \frac{- 7 - 15}{2 \cdot 2} : - \frac{11}{2}

二次方程组的解是:

x = 2, x = - \frac{11}{2}

作图

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