What are the solutions to the equation solvefor x,x^2+4y^2=4ay ?

The solutions to the equation solvefor x,x^2+4y^2=4ay are x=2sqrt(y(a-y)),x=-2sqrt(y(a-y))

Find the zeros of solvefor x,x^2+4y^2=4ay

The zeros of solvefor x,x^2+4y^2=4ay are x=2sqrt(y(a-y)),x=-2sqrt(y(a-y))

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solve for

x, x^{2} + 4 y^{2} = 4 a y

x = 2 y (a - y), x = - 2 y (a - y)

Solution steps

x^{2} + 4 y^{2} = 4 a y

Move

4 y^{2}

to the right side

x^{2} = 4 a y - 4 y^{2}

For

x^{2} = f (a)

the solutions are

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

x = 4 a y - 4 y^{2}, x = - 4 a y - 4 y^{2}

Simplify

4 a y - 4 y^{2} : 2 y (a - y)

Simplify

- 4 a y - 4 y^{2} : - 2 y (a - y)

x = 2 y (a - y), x = - 2 y (a - y)

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

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

- 3 x^{2} + 12 x + 4 = 0

5 x^{2} - 3 + 2 x^{2} = 4

2 x^{2} + 12 x = 4

What are the solutions to the equation solvefor x,x^2+4y^2=4ay ?
The solutions to the equation solvefor x,x^2+4y^2=4ay are x=2sqrt(y(a-y)),x=-2sqrt(y(a-y))
Find the zeros of solvefor x,x^2+4y^2=4ay
The zeros of solvefor x,x^2+4y^2=4ay are x=2sqrt(y(a-y)),x=-2sqrt(y(a-y))