- #1

needingtoknow

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## Homework Statement

Simplify sqrt(x^2+(y-sqrt(5))^2) = 8 - sqrt(x^2 + (y+sqrt(5))^2)

## The Attempt at a Solution

I know squaring both sides, collecting like terms and simplifying gets the equation but in my solution manual they do it a different way that is a lot shorter and I need help understanding what they did:

sqrt(x^2+(y-sqrt(5))^2) = 8 - sqrt(x^2 + (y+sqrt(5))^2)

16 + y*sqrt(5) = 4*sqrt(x^2 +(y+sqrt(5))^2)

from this step ^^ to the following is where I am having trouble

16x^2 + 11y^2 = 176

Any help will be greatly appreciated. Thank you!