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受欢迎的代数 >

-5=q(-0.01q-0.4)

解答

- 5 = q (- 0.01 q - 0.4)

解答

q = - \frac{0.4 + 0.36}{0.02}, q = \frac{0.36 - 0.4}{0.02}

+1

十进制

q = - 50, q = 10

求解步骤

- 5 = q (- 0.01 q - 0.4)

展开

q (- 0.01 q - 0.4) : - 0.01 q^{2} - 0.4 q

- 5 = - 0.01 q^{2} - 0.4 q

交换两边

- 0.01 q^{2} - 0.4 q = - 5

将

5

para o lado esquerdo

- 0.01 q^{2} - 0.4 q + 5 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 0.4 ) \pm ( - 0.4 ) ^{2} - 4 ( - 0.01 ) \cdot 5}{2 ( - 0.01 )}

(- 0.4)^{2} - 4 (- 0.01) \cdot 5 = 0.36

q_{1, 2} = \frac{- ( - 0.4 ) \pm 0.36}{2 ( - 0.01 )}

将解分隔开

q_{1} = \frac{- ( - 0.4 ) + 0.36}{2 ( - 0.01 )}, q_{2} = \frac{- ( - 0.4 ) - 0.36}{2 ( - 0.01 )}

q = \frac{- ( - 0.4 ) + 0.36}{2 ( - 0.01 )} : - \frac{0.4 + 0.36}{0.02}

q = \frac{- ( - 0.4 ) - 0.36}{2 ( - 0.01 )} : \frac{0.36 - 0.4}{0.02}

二次方程组的解是:

q = - \frac{0.4 + 0.36}{0.02}, q = \frac{0.36 - 0.4}{0.02}

作图

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