3+√(z-10)=√(z+5)
Solve and give solution set.

Question

3+√(z-10)=√(z+5) 
Solve and give solution set.

tkhunny · Answer

First, write down $z \ge 10$ and $z \ge -5$.  Why woudl I do that?

anonymous · Answer

What?

anonymous · Answer

thats a square root sign

tkhunny · Answer

Right, so why would I write those things down first, knowing that we have those square roots?

anonymous · Answer

thats how the problem is written

tkhunny · Answer

You're not answering my question.  I believe how the question is written.  It is written quite well.  Now answer my question.  I wrote $z \ge -5$ for a very important reason, as part of the solution to this problem.  Do you know the reason?

agent0smith · Answer

Ben, can you take the square root of a negative number? Now think about what tkhunny was telling you.

To solve this, it'll help to first square both sides of the equation.