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受欢迎的代数 >

solvefor x,x^2+(y+3/4)^2=1

解答

求解

x, x^{2} + (y + \frac{3}{4})^{2} = 1

解答

x = \frac{- 16 y ^{2} + 7 - 24 y}{4}, x = - \frac{- 16 y ^{2} + 7 - 24 y}{4}

求解步骤

x^{2} + (y + \frac{3}{4})^{2} = 1

将

(y + \frac{3}{4})^{2}

到右边

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

化简

1 - (y + \frac{3}{4})^{2} : - y^{2} + \frac{7}{16} - \frac{3}{2} y

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

x = - y^{2} + \frac{7}{16} - \frac{3}{2} y, x = - - y^{2} + \frac{7}{16} - \frac{3}{2} y

化简

- y^{2} + \frac{7}{16} - \frac{3}{2} y : \frac{- 16 y ^{2} + 7 - 24 y}{4}

化简

- - y^{2} + \frac{7}{16} - \frac{3}{2} y : - \frac{- 16 y ^{2} + 7 - 24 y}{4}

x = \frac{- 16 y ^{2} + 7 - 24 y}{4}, x = - \frac{- 16 y ^{2} + 7 - 24 y}{4}

作图

流行的例子

f^{2} = 196

- 6 (x + 3) (x + 2) = 0

(x - 1)^{2} + 25 = 10

solvefor y,x^3-x^2y+y^2=11

so l v e f or y, x^{3} - x^{2} y + y^{2} = 11

b^{2} + 6 b = 41