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受欢迎的代数 >

solvefor x,x^2+y^2-6x+5=k

解答

求解

x, x^{2} + y^{2} - 6 x + 5 = k

解答

x = 3 + - y^{2} + k + 4, x = 3 - - y^{2} + k + 4

求解步骤

x^{2} + y^{2} - 6 x + 5 = k

将

k

para o lado esquerdo

x^{2} + y^{2} - 6 x + 5 - k = 0

改写成标准形式

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

x^{2} - 6 x + y^{2} + 5 - k = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} + 5 - k )}{2 \cdot 1}

化简

(- 6)^{2} - 4 \cdot 1 \cdot (y^{2} + 5 - k) : 2 - y^{2} + k + 4

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

将解分隔开

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

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

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

二次方程组的解是:

x = 3 + - y^{2} + k + 4, x = 3 - - y^{2} + k + 4

作图

流行的例子

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

solvefor x,x^2-x-72=0

so l v e f or x, x^{2} - x - 72 = 0

5 x + 8 = 2 x^{2}

4 x = 4 - x^{2}

(- 5 - u) (- 5 + u) = 9