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受欢迎的代数 >

solvefor x,x^2-xy+y^2=3

解答

求解

x, x^{2} - x y + y^{2} = 3

解答

x = \frac{y + - 3 y ^{2} + 12}{2}, x = \frac{y - - 3 y ^{2} + 12}{2}

求解步骤

x^{2} - x y + y^{2} = 3

将

3

para o lado esquerdo

x^{2} - x y + y^{2} - 3 = 0

改写成标准形式

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

x^{2} - y x + y^{2} - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - y ) \pm ( - y ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} - 3 )}{2 \cdot 1}

化简

(- y)^{2} - 4 \cdot 1 \cdot (y^{2} - 3) : - 3 y^{2} + 12

x_{1, 2} = \frac{- ( - y ) \pm - 3 y ^{2} + 12}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - y ) + - 3 y ^{2} + 12}{2 \cdot 1}, x_{2} = \frac{- ( - y ) - - 3 y ^{2} + 12}{2 \cdot 1}

x = \frac{- ( - y ) + - 3 y ^{2} + 12}{2 \cdot 1} : \frac{y + - 3 y ^{2} + 12}{2}

x = \frac{- ( - y ) - - 3 y ^{2} + 12}{2 \cdot 1} : \frac{y - - 3 y ^{2} + 12}{2}

二次方程组的解是:

x = \frac{y + - 3 y ^{2} + 12}{2}, x = \frac{y - - 3 y ^{2} + 12}{2}

作图

流行的例子

4 x^{2} + 29 = - 28 x

(x-5)^2-(x-6)^2=(2x-3)^2-118

(x - 5)^{2} - (x - 6)^{2} = (2 x - 3)^{2} - 118

x^{2} = - 6 x - 9

solvefor x,f=x^2y

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

x (5 x - 1) = 6