Question

Need help with radical equation. Will give medals!

Answer 1

\[\sqrt{x-3}+\sqrt{x}=3\]

Answer 2

if it were me, i would guess rather than do a raft of algebra

Answer 3

think of a small number \(x\) where \(x\) is a perfect square, and also \(x-3\) is a perfect square
there are not too many that work
in fact, only one

Answer 4

I need to show work though...

Answer 5

x equals 4 but how do i get 4 algebraically?

Answer 6

square both sides

Answer 7

i would say the solution is that \(4\) works, no need for "algebra"

Answer 8

But I need to show work to get credit. :P