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受欢迎的代数 >

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

解答

求解

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

解答

y = - \frac{- x + 9 x ^{2} - 8}{2}, y = - \frac{- x - 9 x ^{2} - 8}{2}

求解步骤

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

将

2

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

化简

x^{2} - 4 (- 1) (2 x^{2} - 2) : 9 x^{2} - 8

y_{1, 2} = \frac{- x \pm 9 x ^{2} - 8}{2 ( - 1 )}

将解分隔开

y_{1} = \frac{- x + 9 x ^{2} - 8}{2 ( - 1 )}, y_{2} = \frac{- x - 9 x ^{2} - 8}{2 ( - 1 )}

y = \frac{- x + 9 x ^{2} - 8}{2 ( - 1 )} : - \frac{- x + 9 x ^{2} - 8}{2}

y = \frac{- x - 9 x ^{2} - 8}{2 ( - 1 )} : - \frac{- x - 9 x ^{2} - 8}{2}

二次方程组的解是:

y = - \frac{- x + 9 x ^{2} - 8}{2}, y = - \frac{- x - 9 x ^{2} - 8}{2}

作图

流行的例子

4(5x+9)^2+34=38

4 (5 x + 9)^{2} + 34 = 38

2 x^{2} + 7 x + 3 = 12

5(x+6)^2-34=-29

5 (x + 6)^{2} - 34 = - 29

因式分解 6x^2=3x+3

f a c t or 6 x^{2} = 3 x + 3

- 5 x^{2} + 3 = 0