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受欢迎的代数 >

9y(1-y)=2

解答

9 y (1 - y) = 2

解答

y = \frac{1}{3}, y = \frac{2}{3}

+1

十进制

y = 0.33333 \dots, y = 0.66666 \dots

求解步骤

9 y (1 - y) = 2

展开

9 y (1 - y) : 9 y - 9 y^{2}

9 y - 9 y^{2} = 2

将

2

para o lado esquerdo

9 y - 9 y^{2} - 2 = 0

改写成标准形式

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

- 9 y^{2} + 9 y - 2 = 0

使用求根公式求解

y_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 ( - 9 ) ( - 2 )}{2 ( - 9 )}

9^{2} - 4 (- 9) (- 2) = 3

y_{1, 2} = \frac{- 9 \pm 3}{2 ( - 9 )}

将解分隔开

y_{1} = \frac{- 9 + 3}{2 ( - 9 )}, y_{2} = \frac{- 9 - 3}{2 ( - 9 )}

y = \frac{- 9 + 3}{2 ( - 9 )} : \frac{1}{3}

y = \frac{- 9 - 3}{2 ( - 9 )} : \frac{2}{3}

二次方程组的解是:

y = \frac{1}{3}, y = \frac{2}{3}

作图

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