SOLUTION: (5y+3)^2+144=0

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Question 617512: (5y+3)^2+144=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285y%2B3%29%5E2%2B144=0 Start with the given equation.


%285y%2B3%29%5E2=0-144Subtract 144 from both sides.


%285y%2B3%29%5E2=-144 Combine like terms.


5y%2B3=%22%22%2B-sqrt%28-144%29 Take the square root of both sides.


5y%2B3=sqrt%28-144%29 or 5y%2B3=-sqrt%28-144%29 Break up the "plus/minus" to form two equations.


5y%2B3=12i or 5y%2B3=-12%2Ai Simplify sqrt%28-144%29 to get 12i.


5y=-3%2B12i or 5y=-3-12%2Ai Subtract 3 from both sides.


y=%28-3%2B12i%29%2F5 or y=%28-3-12i%29%2F5 Divide both sides by 5