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受欢迎的代数 >

-2x^2+24x+312=0

解答

- 2 x^{2} + 24 x + 312 = 0

解答

x = - 2 (43 - 3), x = 2 (3 + 43)

+1

十进制

x = - 7.85640 \dots, x = 19.85640 \dots

求解步骤

- 2 x^{2} + 24 x + 312 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 ( - 2 ) \cdot 312}{2 ( - 2 )}

2 4^{2} - 4 (- 2) \cdot 312 = 323

x_{1, 2} = \frac{- 24 \pm 32 3}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 24 + 32 3}{2 ( - 2 )}, x_{2} = \frac{- 24 - 32 3}{2 ( - 2 )}

x = \frac{- 24 + 32 3}{2 ( - 2 )} : - 2 (43 - 3)

x = \frac{- 24 - 32 3}{2 ( - 2 )} : 2 (3 + 43)

二次方程组的解是:

x = - 2 (43 - 3), x = 2 (3 + 43)

作图

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