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受欢迎的代数 >

-2x^2+20x-24=0

解答

- 2 x^{2} + 20 x - 24 = 0

解答

x = 5 - 13, x = 5 + 13

+1

十进制

x = 1.39444 \dots, x = 8.60555 \dots

求解步骤

- 2 x^{2} + 20 x - 24 = 0

使用求根公式求解

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 2 ) ( - 24 )}{2 ( - 2 )}

2 0^{2} - 4 (- 2) (- 24) = 413

x_{1, 2} = \frac{- 20 \pm 4 13}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 20 + 4 13}{2 ( - 2 )}, x_{2} = \frac{- 20 - 4 13}{2 ( - 2 )}

x = \frac{- 20 + 4 13}{2 ( - 2 )} : 5 - 13

x = \frac{- 20 - 4 13}{2 ( - 2 )} : 5 + 13

二次方程组的解是:

x = 5 - 13, x = 5 + 13

作图

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