I believe x is 43.
3x+17+x-9=180 It is 180 because a straight line is 180 degrees
4x+8=180
-8 -8 subtraction property of equality
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4/4x=172/4 division property of equality
x=43 solution
There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.
For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36
The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.
So choose depending on your interpretation of the question... ;-)