Thread: Find all real solutions- Please help

Hi! I was working on my homework and got stuck!

My problem says to "Find all real solutions for-

square root of (x+3) plus the square root of (xt8) = 1

I know that I need to isolate a radical first so I did-

square root of (x+3) = 1 minus square root of (x+8)

And then I think I need to square both sides, but I'm not sure where to go from there.

Thanks for your help (in advance!)

Ashley

Originally Posted by aperkin2

Hi! I was working on my homework and got stuck!

My problem says to "Find all real solutions for-

square root of (x+3) plus the square root of (xt8) = 1

I know that I need to isolate a radical first so I did-

square root of (x+3) = 1 minus square root of (x+8)

And then I think I need to square both sides, but I'm not sure where to go from there.

Thanks for your help (in advance!)

Ashley

Yes, square both sides of that to get which can be simplified to . Now square again. Be sure to check your solution in the original equation. It is quite possible that a problem like this does not have a solution.