Math Help - Giant Radical Equation

1. Giant Radical Equation

Find all real solutions of the equattion..

2. Re: Giant Radical Equation

Originally Posted by nycmath
Find all real solutions of the equation..
I will get you started. First note that $a,~b,~\&~x$ must all be non-negative.

Square both sides: $\sqrt{a}+\sqrt{x}+2\sqrt{x-a}+\sqrt{x}-\sqrt{a}=2\sqrt{x}+2\sqrt{b}$

Now isolate your radicals and square again; and again; until done.

3. Re: Giant Radical Equation

Thanks. I will play with this and post my answer later or tomorrow.