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受欢迎的代数 >

-17(50-v0.45)=-v^2

解答

- 17 (50 - v 0.45) = - v^{2}

解答

v = - \frac{7.65 + 3458.5225}{2}, v = \frac{3458.5225 - 7.65}{2}

+1

十进制

v = - 33.22960 \dots, v = 25.57960 \dots

求解步骤

- 17 (50 - v \cdot 0.45) = - v^{2}

展开

- 17 (50 - v \cdot 0.45) : - 850 + 7.65 v

- 850 + 7.65 v = - v^{2}

交换两边

- v^{2} = - 850 + 7.65 v

将

7.65 v

para o lado esquerdo

- v^{2} - 7.65 v = - 850

将

850

para o lado esquerdo

- v^{2} - 7.65 v + 850 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( - 7.65 ) \pm ( - 7.65 ) ^{2} - 4 ( - 1 ) \cdot 850}{2 ( - 1 )}

(- 7.65)^{2} - 4 (- 1) \cdot 850 = 3458.5225

v_{1, 2} = \frac{- ( - 7.65 ) \pm 3458.5225}{2 ( - 1 )}

将解分隔开

v_{1} = \frac{- ( - 7.65 ) + 3458.5225}{2 ( - 1 )}, v_{2} = \frac{- ( - 7.65 ) - 3458.5225}{2 ( - 1 )}

v = \frac{- ( - 7.65 ) + 3458.5225}{2 ( - 1 )} : - \frac{7.65 + 3458.5225}{2}

v = \frac{- ( - 7.65 ) - 3458.5225}{2 ( - 1 )} : \frac{3458.5225 - 7.65}{2}

二次方程组的解是:

v = - \frac{7.65 + 3458.5225}{2}, v = \frac{3458.5225 - 7.65}{2}

作图

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