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受欢迎的代数 >

(q^2)/(10000)-q+3900=7000-1.1q

解答

\frac{q ^{2}}{10000} - q + 3900 = 7000 - 1.1 q

解答

q = \frac{- 1000 + 125000000}{2}, q = \frac{- 1000 - 125000000}{2}

+1

十进制

q = 5090.16994 \dots, q = - 6090.16994 \dots

求解步骤

\frac{q ^{2}}{10000} - q + 3900 = 7000 - 1.1 q

在两边乘以

10

\frac{q ^{2}}{1000} - 10 q + 39000 = 70000 - 11 q

在两边乘以

1000

q^{2} - 10000 q + 39000000 = 70000000 - 11000 q

将

11000 q

para o lado esquerdo

q^{2} + 1000 q + 39000000 = 70000000

将

70000000

para o lado esquerdo

q^{2} + 1000 q - 31000000 = 0

使用求根公式求解

q_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot ( - 31000000 )}{2 \cdot 1}

100 0^{2} - 4 \cdot 1 \cdot (- 31000000) = 125000000

q_{1, 2} = \frac{- 1000 \pm 125000000}{2 \cdot 1}

将解分隔开

q_{1} = \frac{- 1000 + 125000000}{2 \cdot 1}, q_{2} = \frac{- 1000 - 125000000}{2 \cdot 1}

q = \frac{- 1000 + 125000000}{2 \cdot 1} : \frac{- 1000 + 125000000}{2}

q = \frac{- 1000 - 125000000}{2 \cdot 1} : \frac{- 1000 - 125000000}{2}

二次方程组的解是:

q = \frac{- 1000 + 125000000}{2}, q = \frac{- 1000 - 125000000}{2}

作图

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