How do you simplify #x + sqrt(x + 5) = 7#?
Hence, squaring the two sides, we get
and transposing all terms to one side
and then splitting middle term in
You must isolate the radical on one side and then square both sides to get rid of the radical.
Factor to solve. To factor a trinomial of the form
We must always check our solutions in the original equation, since solutions known as extraneous solutions. These are solutions that occur when squaring the equation and that don't work inside the original equation. We you find a solution that doesn't work, you must always reject it. Checking our solutions from the previous equation I've found that
- Solve for x.