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受欢迎的代数 >

solvefor x,x^2-xy+y^2-7=0

解答

求解

x, x^{2} - x y + y^{2} - 7 = 0

解答

x = \frac{y + - 3 y ^{2} + 28}{2}, x = \frac{y - - 3 y ^{2} + 28}{2}

求解步骤

x^{2} - x y + y^{2} - 7 = 0

改写成标准形式

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

x^{2} - y x + y^{2} - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - y ) \pm ( - y ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} - 7 )}{2 \cdot 1}

化简

(- y)^{2} - 4 \cdot 1 \cdot (y^{2} - 7) : - 3 y^{2} + 28

x_{1, 2} = \frac{- ( - y ) \pm - 3 y ^{2} + 28}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - y ) + - 3 y ^{2} + 28}{2 \cdot 1}, x_{2} = \frac{- ( - y ) - - 3 y ^{2} + 28}{2 \cdot 1}

x = \frac{- ( - y ) + - 3 y ^{2} + 28}{2 \cdot 1} : \frac{y + - 3 y ^{2} + 28}{2}

x = \frac{- ( - y ) - - 3 y ^{2} + 28}{2 \cdot 1} : \frac{y - - 3 y ^{2} + 28}{2}

二次方程组的解是:

x = \frac{y + - 3 y ^{2} + 28}{2}, x = \frac{y - - 3 y ^{2} + 28}{2}

作图

流行的例子

4 x^{2} - 5 (2 x - 1) = 0

x^{2} - 14 = - 5 - 5

k^{2} + 6 k - 16 = 0

completesquare x^2+11x+30=0

co m pl e t es q u a re x^{2} + 11 x + 30 = 0

w^{2} = 8 (w - 6)