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受欢迎的代数 >

solvefor x,x^2+y^2-kx+6y-3=0

解答

求解

x, x^{2} + y^{2} - k x + 6 y - 3 = 0

解答

x = \frac{k + k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}, x = \frac{k - k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}

求解步骤

x^{2} + y^{2} - k x + 6 y - 3 = 0

改写成标准形式

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

x^{2} - k x + y^{2} + 6 y - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - k ) \pm ( - k ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} + 6 y - 3 )}{2 \cdot 1}

化简

(- k)^{2} - 4 \cdot 1 \cdot (y^{2} + 6 y - 3) : k^{2} - 4 (y^{2} + 6 y - 3)

x_{1, 2} = \frac{- ( - k ) \pm k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - k ) + k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2 \cdot 1}, x_{2} = \frac{- ( - k ) - k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2 \cdot 1}

x = \frac{- ( - k ) + k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2 \cdot 1} : \frac{k + k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}

x = \frac{- ( - k ) - k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2 \cdot 1} : \frac{k - k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}

二次方程组的解是:

x = \frac{k + k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}, x = \frac{k - k ^{2} - 4 ( y ^{2} + 6 y - 3 )}{2}

作图

流行的例子

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