What are the solutions to the equation solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 ?

The solutions to the equation solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 are y=xsqrt(x-2),y=-xsqrt(x-2)

Find the zeros of solvefor y,(x+y)^2+(x-y)^2=x^3+y^2

The zeros of solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 are y=xsqrt(x-2),y=-xsqrt(x-2)

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solve for

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

y = x x - 2, y = - x x - 2

Solution steps

(x + y)^{2} + (x - y)^{2} = x^{3} + y^{2}

Expand

(x + y)^{2} + (x - y)^{2} : 2 x^{2} + 2 y^{2}

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

Move

2 x^{2}

to the right side

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

Move

y^{2}

to the left side

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

For

x^{2} = f (a)

the solutions are

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

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

Simplify

x^{3} - 2 x^{2} : x x - 2

Simplify

- x^{3} - 2 x^{2} : - x x - 2

y = x x - 2, y = - x x - 2

x^{2} + 5 x + 15 = 0

7 n^{2} + 9 n + 2 = 0

(x + 2)^{2} - 5 = 19

x, - x^{2} + 2 x y - 1 = 0

(x + 3)^{2} + 6 (x + 3) + 5 = 0

What are the solutions to the equation solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 ?
The solutions to the equation solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 are y=xsqrt(x-2),y=-xsqrt(x-2)
Find the zeros of solvefor y,(x+y)^2+(x-y)^2=x^3+y^2
The zeros of solvefor y,(x+y)^2+(x-y)^2=x^3+y^2 are y=xsqrt(x-2),y=-xsqrt(x-2)