SOLUTION: square root of T+3 minus the square root of T-2 equals the square root of 7-T

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Question 149973: square root of T+3 minus the square root of T-2 equals the square root of 7-T
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28T%2B3%29-sqrt%28T-2%29=sqrt%287-T%29
First, square both sides.
%28sqrt%28T%2B3%29%29%5E2-2sqrt%28T%2B3%29sqrt%28T-2%29%2B%28sqrt%28T%2B2%29%29%5E2=%28sqrt%287-T%29%29%5E2
%28T%2B3%29-2sqrt%28%28T%2B3%29%28T-2%29%29%2B%28T-2%29=7-T
%282T%2B1%29-2sqrt%28%28T%2B3%29%28T-2%29%29=-T%2B7
-2sqrt%28%28T%2B3%29%28T-2%29%29=-3T%2B6
Square both sides.
4%28T%2B3%29%28T-2%29=9T%5E2-36T%2B36
4%28T%5E2%2BT-6%29=9T%5E2-36T%2B36
4T%5E2%2B4T-24=9T%5E2-36T%2B36
5T%5E2-40T%2B60=0
T%5E2-8T%2B12=0
%28T-2%29%28T-6%29=0
First solution
T-2=0
T=2
Second solution
T-6=0
T=6