SOLUTION: Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.

Question 1135385: Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.

Found 3 solutions by MathLover1, MathTherapy, Alan3354:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the equation has both terms on left side under square root, and it will require more time to square it
if you muve to the right, will be much easier to square , you will have only one time sqrt in entire equation

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.

Because you'll be left with a left-side of:
This could prove to be quite a challenge for some, to continue onto the solution.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
You can square both sides 1st, it doesn't matter.
After some shuffling, it's all the same.
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Stupid question, IMO.
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