solve each equation. check for extraneous solutions.

Question

sqrt(2x+1)+sqrt(2x+6)=5

please show work!!!!!

Answer 1

I have an idea. Why don't you show your work?

To start, square both sides, then collect terms and square again.

√(2x+1) + √(2x+6) = 5
(2x+1) + 2√(4x^2+14x+12) + (2x+6) = 25
√(4x^2+14x+12) = 9-2x
. . .