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受欢迎的代数 >

0=-0.02x^2+x+2.6

解答

0 = - 0.02 x^{2} + x + 2.6

解答

x = 25 - 755, x = 25 + 755

+1

十进制

x = - 2.47726 \dots, x = 52.47726 \dots

求解步骤

0 = - 0.02 x^{2} + x + 2.6

在两边乘以

100

0 = - 2 x^{2} + 100 x + 260

交换两边

- 2 x^{2} + 100 x + 260 = 0

使用求根公式求解

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 2 ) \cdot 260}{2 ( - 2 )}

10 0^{2} - 4 (- 2) \cdot 260 = 4755

x_{1, 2} = \frac{- 100 \pm 4 755}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 100 + 4 755}{2 ( - 2 )}, x_{2} = \frac{- 100 - 4 755}{2 ( - 2 )}

x = \frac{- 100 + 4 755}{2 ( - 2 )} : 25 - 755

x = \frac{- 100 - 4 755}{2 ( - 2 )} : 25 + 755

二次方程组的解是:

x = 25 - 755, x = 25 + 755

作图

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