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受欢迎的代数 >

solvefor y,5x^3-xy^2+3y=C

解答

求解

y, 5 x^{3} - x y^{2} + 3 y = C

解答

y = - \frac{- 3 + 9 + 4 x ( 5 x ^{3} - C )}{2 x}, y = - \frac{- 3 - 9 + 4 x ( 5 x ^{3} - C )}{2 x}; x \neq = 0

求解步骤

5 x^{3} - x y^{2} + 3 y = C

将

C

para o lado esquerdo

5 x^{3} - x y^{2} + 3 y - C = 0

改写成标准形式

a x^{2} + b x + c = 0

- x y^{2} + 3 y + 5 x^{3} - C = 0

使用求根公式求解

y_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - x ) ( 5 x ^{3} - C )}{2 ( - x )}

化简

3^{2} - 4 (- x) (5 x^{3} - C) : 9 + 4 x (5 x^{3} - C)

y_{1, 2} = \frac{- 3 \pm 9 + 4 x ( 5 x ^{3} - C )}{2 ( - x )}; x \neq = 0

将解分隔开

y_{1} = \frac{- 3 + 9 + 4 x ( 5 x ^{3} - C )}{2 ( - x )}, y_{2} = \frac{- 3 - 9 + 4 x ( 5 x ^{3} - C )}{2 ( - x )}

y = \frac{- 3 + 9 + 4 x ( 5 x ^{3} - C )}{2 ( - x )} : - \frac{- 3 + 9 + 4 x ( 5 x ^{3} - C )}{2 x}

y = \frac{- 3 - 9 + 4 x ( 5 x ^{3} - C )}{2 ( - x )} : - \frac{- 3 - 9 + 4 x ( 5 x ^{3} - C )}{2 x}

二次方程组的解是:

y = - \frac{- 3 + 9 + 4 x ( 5 x ^{3} - C )}{2 x}, y = - \frac{- 3 - 9 + 4 x ( 5 x ^{3} - C )}{2 x}; x \neq = 0

作图

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