Question

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

Answer 1

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

Answer 2

What?

Answer 3

thats a square root sign

Answer 4

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

Answer 5

thats how the problem is written

Answer 6

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?

Answer 7

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.