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受欢迎的代数 >

7000-2Q=0.1Q^2+2Q+1000

解答

7000 - 2 Q = 0.1 Q^{2} + 2 Q + 1000

解答

Q = 20 (151 - 1), Q = - 20 (1 + 151)

+1

十进制

Q = 225.76411 \dots, Q = - 265.76411 \dots

求解步骤

7000 - 2 Q = 0.1 Q^{2} + 2 Q + 1000

在两边乘以

10

70000 - 20 Q = Q^{2} + 20 Q + 10000

交换两边

Q^{2} + 20 Q + 10000 = 70000 - 20 Q

将

20 Q

para o lado esquerdo

Q^{2} + 40 Q + 10000 = 70000

将

70000

para o lado esquerdo

Q^{2} + 40 Q - 60000 = 0

使用求根公式求解

Q_{1, 2} = \frac{- 40 \pm 4 0 ^{2} - 4 \cdot 1 \cdot ( - 60000 )}{2 \cdot 1}

4 0^{2} - 4 \cdot 1 \cdot (- 60000) = 40151

Q_{1, 2} = \frac{- 40 \pm 40 151}{2 \cdot 1}

将解分隔开

Q_{1} = \frac{- 40 + 40 151}{2 \cdot 1}, Q_{2} = \frac{- 40 - 40 151}{2 \cdot 1}

Q = \frac{- 40 + 40 151}{2 \cdot 1} : 20 (151 - 1)

Q = \frac{- 40 - 40 151}{2 \cdot 1} : - 20 (1 + 151)

二次方程组的解是:

Q = 20 (151 - 1), Q = - 20 (1 + 151)

作图

流行的例子

12 x - 0.24 x^{2} = 0

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co m pl e t es q u a re x^{2} + 8 x - 20

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so l v e f or A, A^{2} - Y = CB

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