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受欢迎的代数 >

y=y(4-y)

解答

y = y (4 - y)

解答

y = 0, y = 3

求解步骤

y = y (4 - y)

展开

y (4 - y) : 4 y - y^{2}

y = 4 y - y^{2}

交换两边

4 y - y^{2} = y

将

y

para o lado esquerdo

- y^{2} + 3 y = 0

使用求根公式求解

y_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

3^{2} - 4 (- 1) \cdot 0 = 3

y_{1, 2} = \frac{- 3 \pm 3}{2 ( - 1 )}

将解分隔开

y_{1} = \frac{- 3 + 3}{2 ( - 1 )}, y_{2} = \frac{- 3 - 3}{2 ( - 1 )}

y = \frac{- 3 + 3}{2 ( - 1 )} : 0

y = \frac{- 3 - 3}{2 ( - 1 )} : 3

二次方程组的解是:

y = 0, y = 3

作图

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a = (x - 6) (x - 20) - (x - 3) 2 + 50

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