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受欢迎的代数 >

x(2x-11)=12

解答

x (2 x - 11) = 12

解答

x = \frac{11 + 217}{4}, x = \frac{11 - 217}{4}

+1

十进制

x = 6.43272 \dots, x = - 0.93272 \dots

求解步骤

x (2 x - 11) = 12

展开

x (2 x - 11) : 2 x^{2} - 11 x

2 x^{2} - 11 x = 12

将

12

para o lado esquerdo

2 x^{2} - 11 x - 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 ( - 12 )}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 (- 12) = 217

x_{1, 2} = \frac{- ( - 11 ) \pm 217}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 217}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 217}{2 \cdot 2}

x = \frac{- ( - 11 ) + 217}{2 \cdot 2} : \frac{11 + 217}{4}

x = \frac{- ( - 11 ) - 217}{2 \cdot 2} : \frac{11 - 217}{4}

二次方程组的解是:

x = \frac{11 + 217}{4}, x = \frac{11 - 217}{4}

作图

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