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受欢迎的代数 >

5x^2-43x-125=7x

解答

5 x^{2} - 43 x - 125 = 7 x

解答

x = 5 (1 + 2), x = 5 (1 - 2)

+1

十进制

x = 12.07106 \dots, x = - 2.07106 \dots

求解步骤

5 x^{2} - 43 x - 125 = 7 x

将

7 x

para o lado esquerdo

5 x^{2} - 50 x - 125 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 ( - 125 )}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 (- 125) = 502

x_{1, 2} = \frac{- ( - 50 ) \pm 50 2}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 50 ) + 50 2}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 50 2}{2 \cdot 5}

x = \frac{- ( - 50 ) + 50 2}{2 \cdot 5} : 5 (1 + 2)

x = \frac{- ( - 50 ) - 50 2}{2 \cdot 5} : 5 (1 - 2)

二次方程组的解是:

x = 5 (1 + 2), x = 5 (1 - 2)

作图

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