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受欢迎的代数 >

-0.5a^2+243a-3280.5=0

解答

- 0.5 a^{2} + 243 a - 3280.5 = 0

解答

a = 81 (3 - 22), a = 81 (3 + 22)

+1

十进制

a = 13.89740 \dots, a = 472.10259 \dots

求解步骤

- 0.5 a^{2} + 243 a - 3280.5 = 0

在两边乘以

10

- 5 a^{2} + 2430 a - 32805 = 0

使用求根公式求解

a_{1, 2} = \frac{- 2430 \pm 243 0 ^{2} - 4 ( - 5 ) ( - 32805 )}{2 ( - 5 )}

243 0^{2} - 4 (- 5) (- 32805) = 16202

a_{1, 2} = \frac{- 2430 \pm 1620 2}{2 ( - 5 )}

将解分隔开

a_{1} = \frac{- 2430 + 1620 2}{2 ( - 5 )}, a_{2} = \frac{- 2430 - 1620 2}{2 ( - 5 )}

a = \frac{- 2430 + 1620 2}{2 ( - 5 )} : 81 (3 - 22)

a = \frac{- 2430 - 1620 2}{2 ( - 5 )} : 81 (3 + 22)

二次方程组的解是:

a = 81 (3 - 22), a = 81 (3 + 22)

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