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受欢迎的代数 >

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

解答

求解

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

解答

x = - (2 - 1) y, x = (1 + 2) y

求解步骤

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- 2 y \pm ( 2 y ) ^{2} - 4 ( - 1 ) y ^{2}}{2 ( - 1 )}

化简

(2 y)^{2} - 4 (- 1) y^{2} : 22 y

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

将解分隔开

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

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

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

二次方程组的解是:

x = - (2 - 1) y, x = (1 + 2) y

作图

流行的例子

completesquare 3t^2-5t+2=0

co m pl e t es q u a re 3 t^{2} - 5 t + 2 = 0

因式分解 x(x+3)=5x+3

f a c t or x (x + 3) = 5 x + 3

- 2 x^{2} + 10 x = 12

15n^2+41n-18=2n

15 n^{2} + 41 n - 18 = 2 n

2 x^{2} + 9 x - 1 = 2 x - 7