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受欢迎的代数 >

solvefor y,-x^2+6x=y^2+8y

解答

求解

y, - x^{2} + 6 x = y^{2} + 8 y

解答

y = - 4 + - x (x - 6) + 16, y = - - x (x - 6) + 16 - 4

求解步骤

- x^{2} + 6 x = y^{2} + 8 y

交换两边

y^{2} + 8 y = - x^{2} + 6 x

将

6 x

para o lado esquerdo

y^{2} + 8 y - 6 x = - x^{2}

将

x^{2}

para o lado esquerdo

y^{2} + 8 y - 6 x + x^{2} = 0

使用求根公式求解

y_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 6 x + x ^{2} )}{2 \cdot 1}

化简

8^{2} - 4 \cdot 1 \cdot (- 6 x + x^{2}) : 2 16 - x (x - 6)

y_{1, 2} = \frac{- 8 \pm 2 16 - x ( x - 6 )}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- 8 + 2 16 - x ( x - 6 )}{2 \cdot 1}, y_{2} = \frac{- 8 - 2 16 - x ( x - 6 )}{2 \cdot 1}

y = \frac{- 8 + 2 16 - x ( x - 6 )}{2 \cdot 1} : - 4 + - x (x - 6) + 16

y = \frac{- 8 - 2 16 - x ( x - 6 )}{2 \cdot 1} : - - x (x - 6) + 16 - 4

二次方程组的解是:

y = - 4 + - x (x - 6) + 16, y = - - x (x - 6) + 16 - 4

作图

流行的例子

(s + 2)^{2} = 0

1/4 (10800-3x^2)=0

\frac{1}{4} (10800 - 3 x^{2}) = 0

t^{2} - 8 = 0

-0.5x^2+40x-300=2500

- 0.5 x^{2} + 40 x - 300 = 2500

solvefor x,x^2y=8

so l v e f or x, x^{2} y = 8