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受欢迎的代数 >

5x^2-12x-5=-3x

解答

5 x^{2} - 12 x - 5 = - 3 x

解答

x = \frac{9 + 181}{10}, x = \frac{9 - 181}{10}

+1

十进制

x = 2.24536 \dots, x = - 0.44536 \dots

求解步骤

5 x^{2} - 12 x - 5 = - 3 x

将

3 x

para o lado esquerdo

5 x^{2} - 9 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 5 ( - 5 )}{2 \cdot 5}

(- 9)^{2} - 4 \cdot 5 (- 5) = 181

x_{1, 2} = \frac{- ( - 9 ) \pm 181}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 181}{2 \cdot 5}, x_{2} = \frac{- ( - 9 ) - 181}{2 \cdot 5}

x = \frac{- ( - 9 ) + 181}{2 \cdot 5} : \frac{9 + 181}{10}

x = \frac{- ( - 9 ) - 181}{2 \cdot 5} : \frac{9 - 181}{10}

二次方程组的解是:

x = \frac{9 + 181}{10}, x = \frac{9 - 181}{10}

作图

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