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受欢迎的代数 >

x^2-10x=x+12

解答

x^{2} - 10 x = x + 12

解答

x = 12, x = - 1

求解步骤

x^{2} - 10 x = x + 12

将

12

para o lado esquerdo

x^{2} - 10 x - 12 = x

将

x

para o lado esquerdo

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

使用求根公式求解

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

(- 11)^{2} - 4 \cdot 1 \cdot (- 12) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 1}

x = \frac{- ( - 11 ) + 13}{2 \cdot 1} : 12

x = \frac{- ( - 11 ) - 13}{2 \cdot 1} : - 1

二次方程组的解是:

x = 12, x = - 1

作图

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