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受欢迎的代数 >

y^2=2y-y^2

解答

y^{2} = 2 y - y^{2}

解答

y = 0, y = 1

求解步骤

y^{2} = 2 y - y^{2}

交换两边

2 y - y^{2} = y^{2}

将

y^{2}

para o lado esquerdo

2 y - 2 y^{2} = 0

改写成标准形式

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

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

使用求根公式求解

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

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

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

将解分隔开

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

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

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

二次方程组的解是:

y = 0, y = 1

作图

流行的例子

solvefor x,x^2+x+y^2+3/2 y+13/16 =0

so l v e f or x, x^{2} + x + y^{2} + \frac{3}{2} y + \frac{13}{16} = 0

c(x)=x^2+6x+128

c (x) = x^{2} + 6 x + 128

6 u^{2} - u - 2 = 0

(4 x - 3) (3 x + 4) = 0

5(2x^2-3)=4(x^2-10)

5 (2 x^{2} - 3) = 4 (x^{2} - 10)