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受欢迎的代数 >

solvefor y,x^2+2xy+y^2+x-y=0

解答

求解

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

解答

y = \frac{- 2 x + 1 + - 8 x + 1}{2}, y = \frac{- 2 x + 1 - - 8 x + 1}{2}

求解步骤

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

改写成标准形式

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

y^{2} + (2 x - 1) y + x^{2} + x = 0

使用求根公式求解

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

化简

(2 x - 1)^{2} - 4 \cdot 1 \cdot (x^{2} + x) : - 8 x + 1

y_{1, 2} = \frac{- ( 2 x - 1 ) \pm - 8 x + 1}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( 2 x - 1 ) + - 8 x + 1}{2 \cdot 1}, y_{2} = \frac{- ( 2 x - 1 ) - - 8 x + 1}{2 \cdot 1}

y = \frac{- ( 2 x - 1 ) + - 8 x + 1}{2 \cdot 1} : \frac{- 2 x + 1 + - 8 x + 1}{2}

y = \frac{- ( 2 x - 1 ) - - 8 x + 1}{2 \cdot 1} : \frac{- 2 x + 1 - - 8 x + 1}{2}

二次方程组的解是:

y = \frac{- 2 x + 1 + - 8 x + 1}{2}, y = \frac{- 2 x + 1 - - 8 x + 1}{2}

作图

流行的例子

x = x^{2} - 5 x + 6

6 x^{2} - 24 x - 4 = 0

roo t s x^{2} + 2 x

2(x+6)^2-41=-21

2 (x + 6)^{2} - 41 = - 21

6 x^{2} + 25 x + 25 = 0