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受欢迎的代数 >

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

解答

求解

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

解答

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

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

使用求根公式求解

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

化简

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

y_{1, 2} = \frac{- x \pm - 3 x ^{2} + 12}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- x + - 3 x ^{2} + 12}{2 \cdot 1}, y_{2} = \frac{- x - - 3 x ^{2} + 12}{2 \cdot 1}

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

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

二次方程组的解是:

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

作图

流行的例子

- 2 x^{2} + 4 x + 16 = 0

8/3 x^2-19-7/2 x=0

\frac{8}{3} x^{2} - 19 - \frac{7}{2} x = 0

x (x - 1) = 4 x

w^{2} - 5 w = 0

因式分解 x^2-9=0

f a c t or x^{2} - 9 = 0