I am confused about the following problem, and cannot figure out how to solve it without using a graphing calculator.
Sqrt(x+5) - Sqrt(2x+3) = -2
How does one solve such a problem?
Square both sides. You'll still have a radical on the LHS. Move everything but the radical term to the RHS, then square again. Should work.
Hello, yewchung!
I tried the problem and got clumsy answers, but they checked out.
(Well, one of them checked . . . the other was extraneous.)
Isolate a radical: .
Square both sides: .
n . . . . . . . . . . . . . . . . .
Isolate the radical: . . . . .
Square both sides: . . .
n . . . . . . . . . . .
n . . . . . . . . . . .
n . . . . . . . . . . .
Quadratic Formula: .
The only root is: .