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受欢迎的代数 >

(2x-7)(4x+3)=112

解答

(2 x - 7) (4 x + 3) = 112

解答

x = \frac{11 + 1185}{8}, x = \frac{11 - 1185}{8}

+1

十进制

x = 5.67797 \dots, x = - 2.92797 \dots

求解步骤

(2 x - 7) (4 x + 3) = 112

展开

(2 x - 7) (4 x + 3) : 8 x^{2} - 22 x - 21

8 x^{2} - 22 x - 21 = 112

将

112

para o lado esquerdo

8 x^{2} - 22 x - 133 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 8 ( - 133 )}{2 \cdot 8}

(- 22)^{2} - 4 \cdot 8 (- 133) = 21185

x_{1, 2} = \frac{- ( - 22 ) \pm 2 1185}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- ( - 22 ) + 2 1185}{2 \cdot 8}, x_{2} = \frac{- ( - 22 ) - 2 1185}{2 \cdot 8}

x = \frac{- ( - 22 ) + 2 1185}{2 \cdot 8} : \frac{11 + 1185}{8}

x = \frac{- ( - 22 ) - 2 1185}{2 \cdot 8} : \frac{11 - 1185}{8}

二次方程组的解是:

x = \frac{11 + 1185}{8}, x = \frac{11 - 1185}{8}

作图

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