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受欢迎的代数 >

12x=13-x^2

解答

12 x = 13 - x^{2}

解答

x = - 13, x = 1

求解步骤

12 x = 13 - x^{2}

交换两边

13 - x^{2} = 12 x

将

12 x

para o lado esquerdo

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

改写成标准形式

a x^{2} + b x + c = 0

- x^{2} - 12 x + 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 1 ) \cdot 13}{2 ( - 1 )}

(- 12)^{2} - 4 (- 1) \cdot 13 = 14

x_{1, 2} = \frac{- ( - 12 ) \pm 14}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 12 ) + 14}{2 ( - 1 )}, x_{2} = \frac{- ( - 12 ) - 14}{2 ( - 1 )}

x = \frac{- ( - 12 ) + 14}{2 ( - 1 )} : - 13

x = \frac{- ( - 12 ) - 14}{2 ( - 1 )} : 1

二次方程组的解是:

x = - 13, x = 1

作图

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