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受欢迎的代数 >

Q^2-10599.74Q+375000=0

解答

Q^{2} - 10599.74 Q + 375000 = 0

解答

Q = \frac{1059974 + 105997 4 ^{2} - 15000000000}{200}, Q = \frac{1059974 - 105997 4 ^{2} - 15000000000}{200}

+1

十进制

Q = 10564.24289 \dots, Q = 35.49710 \dots

求解步骤

Q^{2} - 10599.74 Q + 375000 = 0

在两边乘以

100

100 Q^{2} - 1059974 Q + 37500000 = 0

使用求根公式求解

Q_{1, 2} = \frac{- ( - 1059974 ) \pm ( - 1059974 ) ^{2} - 4 \cdot 100 \cdot 37500000}{2 \cdot 100}

(- 1059974)^{2} - 4 \cdot 100 \cdot 37500000 = 105997 4^{2} - 15000000000

Q_{1, 2} = \frac{- ( - 1059974 ) \pm 105997 4 ^{2} - 15000000000}{2 \cdot 100}

将解分隔开

Q_{1} = \frac{- ( - 1059974 ) + 105997 4 ^{2} - 15000000000}{2 \cdot 100}, Q_{2} = \frac{- ( - 1059974 ) - 105997 4 ^{2} - 15000000000}{2 \cdot 100}

Q = \frac{- ( - 1059974 ) + 105997 4 ^{2} - 15000000000}{2 \cdot 100} : \frac{1059974 + 105997 4 ^{2} - 15000000000}{200}

Q = \frac{- ( - 1059974 ) - 105997 4 ^{2} - 15000000000}{2 \cdot 100} : \frac{1059974 - 105997 4 ^{2} - 15000000000}{200}

二次方程组的解是:

Q = \frac{1059974 + 105997 4 ^{2} - 15000000000}{200}, Q = \frac{1059974 - 105997 4 ^{2} - 15000000000}{200}

作图

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