zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor x,f=4x^2-4xy+y^2

解答

求解

x, f = 4 x^{2} - 4 x y + y^{2}

解答

x = \frac{y + f}{2}, x = \frac{y - f}{2}

求解步骤

f = 4 x^{2} - 4 x y + y^{2}

交换两边

4 x^{2} - 4 x y + y^{2} = f

将

f

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

化简

(- 4 y)^{2} - 4 \cdot 4 (y^{2} - f) : 4 f

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

将解分隔开

x_{1} = \frac{- ( - 4 y ) + 4 f}{2 \cdot 4}, x_{2} = \frac{- ( - 4 y ) - 4 f}{2 \cdot 4}

x = \frac{- ( - 4 y ) + 4 f}{2 \cdot 4} : \frac{y + f}{2}

x = \frac{- ( - 4 y ) - 4 f}{2 \cdot 4} : \frac{y - f}{2}

二次方程组的解是:

x = \frac{y + f}{2}, x = \frac{y - f}{2}

作图

流行的例子

completesquare x^2+3x-7

co m pl e t es q u a re x^{2} + 3 x - 7

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

so l v e f or x, - x^{2} - y^{2} = 0

7 x^{2} + 9 x - j = 0

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

1x+4-x^2-x=x+10x^2+2x-8

1 x + 4 - x^{2} - x = x + 10 x^{2} + 2 x - 8