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受欢迎的代数 >

(7+1)(x^2+2x)=(7+3)(3x+5)

解答

(7 + 1) (x^{2} + 2 x) = (7 + 3) (3 x + 5)

解答

x = \frac{7 + 449}{8}, x = \frac{7 - 449}{8}

+1

十进制

x = 3.52370 \dots, x = - 1.77370 \dots

求解步骤

(7 + 1) (x^{2} + 2 x) = (7 + 3) (3 x + 5)

展开

(7 + 1) (x^{2} + 2 x) : 8 x^{2} + 16 x

展开

(7 + 3) (3 x + 5) : 30 x + 50

8 x^{2} + 16 x = 30 x + 50

将

50

para o lado esquerdo

8 x^{2} + 16 x - 50 = 30 x

将

30 x

para o lado esquerdo

8 x^{2} - 14 x - 50 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 8 ( - 50 )}{2 \cdot 8}

(- 14)^{2} - 4 \cdot 8 (- 50) = 2449

x_{1, 2} = \frac{- ( - 14 ) \pm 2 449}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2 449}{2 \cdot 8}, x_{2} = \frac{- ( - 14 ) - 2 449}{2 \cdot 8}

x = \frac{- ( - 14 ) + 2 449}{2 \cdot 8} : \frac{7 + 449}{8}

x = \frac{- ( - 14 ) - 2 449}{2 \cdot 8} : \frac{7 - 449}{8}

二次方程组的解是:

x = \frac{7 + 449}{8}, x = \frac{7 - 449}{8}

作图

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