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受欢迎的代数 >

solvefor y,4x^2-4xy+1-y^2=0

解答

求解

y, 4 x^{2} - 4 x y + 1 - y^{2} = 0

解答

y = - 2 x - 8 x^{2} + 1, y = - 2 x + 8 x^{2} + 1

求解步骤

4 x^{2} - 4 x y + 1 - y^{2} = 0

改写成标准形式

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

- y^{2} - 4 x y + 4 x^{2} + 1 = 0

使用求根公式求解

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

化简

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

y_{1, 2} = \frac{- ( - 4 x ) \pm 2 8 x ^{2} + 1}{2 ( - 1 )}

将解分隔开

y_{1} = \frac{- ( - 4 x ) + 2 8 x ^{2} + 1}{2 ( - 1 )}, y_{2} = \frac{- ( - 4 x ) - 2 8 x ^{2} + 1}{2 ( - 1 )}

y = \frac{- ( - 4 x ) + 2 8 x ^{2} + 1}{2 ( - 1 )} : - 2 x - 8 x^{2} + 1

y = \frac{- ( - 4 x ) - 2 8 x ^{2} + 1}{2 ( - 1 )} : - 2 x + 8 x^{2} + 1

二次方程组的解是:

y = - 2 x - 8 x^{2} + 1, y = - 2 x + 8 x^{2} + 1

作图

流行的例子

x^{2} - 5 = 95

x^{2} + 20 x + 80 = 0

2 x^{2} - 3 x - 44 = 0

a^{2} + 4 a + 20 = 0

5 x^{2} + 21 x + 18 = 0