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受欢迎的代数 >

40-13x=-x^2

解答

40 - 13 x = - x^{2}

解答

x = 5, x = 8

求解步骤

40 - 13 x = - x^{2}

交换两边

- x^{2} = 40 - 13 x

将

13 x

para o lado esquerdo

- x^{2} + 13 x = 40

将

40

para o lado esquerdo

- x^{2} + 13 x - 40 = 0

使用求根公式求解

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 ( - 1 ) ( - 40 )}{2 ( - 1 )}

1 3^{2} - 4 (- 1) (- 40) = 3

x_{1, 2} = \frac{- 13 \pm 3}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 13 + 3}{2 ( - 1 )}, x_{2} = \frac{- 13 - 3}{2 ( - 1 )}

x = \frac{- 13 + 3}{2 ( - 1 )} : 5

x = \frac{- 13 - 3}{2 ( - 1 )} : 8

二次方程组的解是:

x = 5, x = 8

作图

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