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受欢迎的代数 >

4y-y^2=0

解答

4 y - y^{2} = 0

解答

y = 0, y = 4

求解步骤

4 y - y^{2} = 0

改写成标准形式

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

- y^{2} + 4 y = 0

使用求根公式求解

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

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

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

将解分隔开

y_{1} = \frac{- 4 + 4}{2 ( - 1 )}, y_{2} = \frac{- 4 - 4}{2 ( - 1 )}

y = \frac{- 4 + 4}{2 ( - 1 )} : 0

y = \frac{- 4 - 4}{2 ( - 1 )} : 4

二次方程组的解是:

y = 0, y = 4

作图

流行的例子

81 x^{2} - 100 = 0

4 x^{2} - 5 x + 8 = 0

solvefor x,g(2-x)=x^2-4x

so l v e f or x, g (2 - x) = x^{2} - 4 x

\frac{2}{3} x = 40 - x^{2}

3 x^{2} - 10 x = 546