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受欢迎的代数 >

solvefor x,x^2+2x+y^2-6y=c

解答

求解

x, x^{2} + 2 x + y^{2} - 6 y = c

解答

x = - 1 + - y^{2} + 6 y + c + 1, x = - - y^{2} + 6 y + c + 1 - 1

求解步骤

x^{2} + 2 x + y^{2} - 6 y = c

将

c

para o lado esquerdo

x^{2} + 2 x + y^{2} - 6 y - c = 0

使用求根公式求解

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

化简

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

x_{1, 2} = \frac{- 2 \pm 2 1 - y ^{2} + c + 6 y}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 2 + 2 1 - y ^{2} + c + 6 y}{2 \cdot 1}, x_{2} = \frac{- 2 - 2 1 - y ^{2} + c + 6 y}{2 \cdot 1}

x = \frac{- 2 + 2 1 - y ^{2} + c + 6 y}{2 \cdot 1} : - 1 + - y^{2} + 6 y + c + 1

x = \frac{- 2 - 2 1 - y ^{2} + c + 6 y}{2 \cdot 1} : - - y^{2} + 6 y + c + 1 - 1

二次方程组的解是:

x = - 1 + - y^{2} + 6 y + c + 1, x = - - y^{2} + 6 y + c + 1 - 1

作图

流行的例子

completesquare Ax^2+Dx

co m pl e t es q u a re A x^{2} + D x

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solvefor x,21x^2+6xy+13y^2-114x+34y+73=0

so l v e f or x, 21 x^{2} + 6 x y + 13 y^{2} - 114 x + 34 y + 73 = 0

-6x^2+72x-162=0

- 6 x^{2} + 72 x - 162 = 0