SOLUTION: I'm not positive I have the correct answer of if I did this one correctly. (2t-3)^2 = 36

Algebra ->  Square-cubic-other-roots -> SOLUTION: I'm not positive I have the correct answer of if I did this one correctly. (2t-3)^2 = 36      Log On


   

Question 130202: I'm not positive I have the correct answer of if I did this one correctly.
(2t-3)^2 = 36
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%282t-3%29%5E2+=+36
take the square roots of both sides
2t+-+3+=+6
and
2t+-+3+=+-6
----------------
2t+-+3+=+6
2t+=+9
t+=+9%2F2 answer
and
2t+-+3+=+-6
2t+=+-3
t+=+-%283%2F2%29 answer
check the answers
%282t-3%29%5E2+=+36
%282%2A%289%2F2%29+-+3%29%5E2+=+36
%289+-+3%29%5E2+=+36
6%5E2+=+36
36+=+36
OK
%282%2A%28-3%2F2%29+-+3%29%5E2+=+36
%28-3+-+3%29%5E2+=+36
%28-6%29%5E2+=+36
36+=+36
OK