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受欢迎的代数 >

-(x^2)/(200)+x-2=39

解答

- \frac{x ^{2}}{200} + x - 2 = 39

解答

x = 10 (10 - 32), x = 10 (10 + 32)

+1

十进制

x = 57.57359 \dots, x = 142.42640 \dots

求解步骤

- \frac{x ^{2}}{200} + x - 2 = 39

在两边乘以

200

- x^{2} + 200 x - 400 = 7800

将

7800

para o lado esquerdo

- x^{2} + 200 x - 8200 = 0

使用求根公式求解

x_{1, 2} = \frac{- 200 \pm 20 0 ^{2} - 4 ( - 1 ) ( - 8200 )}{2 ( - 1 )}

20 0^{2} - 4 (- 1) (- 8200) = 602

x_{1, 2} = \frac{- 200 \pm 60 2}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 200 + 60 2}{2 ( - 1 )}, x_{2} = \frac{- 200 - 60 2}{2 ( - 1 )}

x = \frac{- 200 + 60 2}{2 ( - 1 )} : 10 (10 - 32)

x = \frac{- 200 - 60 2}{2 ( - 1 )} : 10 (10 + 32)

二次方程组的解是:

x = 10 (10 - 32), x = 10 (10 + 32)

作图

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