What are the solutions to the equation solvefor x,xfx-yfy=0 ?

The solutions to the equation solvefor x,xfx-yfy=0 are x=y,x=-y;\quad f\ne 0

Find the zeros of solvefor x,xfx-yfy=0

The zeros of solvefor x,xfx-yfy=0 are x=y,x=-y;\quad f\ne 0

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solve for

x, x f x - y f y = 0

x = y, x = - y; f \neq = 0

Solution steps

x f x - y f y = 0

Move

y f y

to the right side

x f x = y^{2} f

Simplify

x^{2} f = y^{2} f

Divide both sides by

f; f \neq = 0

\frac{x ^{2} f}{f} = \frac{y ^{2} f}{f}; f \neq = 0

x^{2} = y^{2}; f \neq = 0

For

x^{2} = f (a)

the solutions are

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

x = y^{2}, x = - y^{2}; f \neq = 0

Simplify

y^{2} : y

Simplify

- y^{2} : - y

x = y, x = - y; f \neq = 0

5 y^{2} = 125

2 x^{2} + 8 x = 0

y^{2} + 3 y

x^{2} - 10 - 24 = 0

x^{2} + 6 x + 3 = 1

What are the solutions to the equation solvefor x,xfx-yfy=0 ?
The solutions to the equation solvefor x,xfx-yfy=0 are x=y,x=-y;\quad f\ne 0
Find the zeros of solvefor x,xfx-yfy=0
The zeros of solvefor x,xfx-yfy=0 are x=y,x=-y;\quad f\ne 0