SOLUTION: (5x + 3)^2 - 5 = 49

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Question 243560: (5x + 3)^2 - 5 = 49
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285x%2B3%29%5E2-5=49 Start with the given equation.


%285x%2B3%29%5E2=49%2B5Add 5 to both sides.


%285x%2B3%29%5E2=54 Combine like terms.


5x%2B3=%22%22%2B-sqrt%2854%29 Take the square root of both sides.


5x%2B3=sqrt%2854%29 or 5x%2B3=-sqrt%2854%29 Break up the "plus/minus" to form two equations.


5x%2B3=3%2Asqrt%286%29 or 5x%2B3=-3%2Asqrt%286%29 Simplify the square root.


5x=-3%2B3%2Asqrt%286%29 or 5x=-3-3%2Asqrt%286%29 Subtract 3 from both sides.


x=%28-3%2B3%2Asqrt%286%29%29%2F5 or x=%28-3-3%2Asqrt%286%29%29%2F5 Divide both sides by 5.


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Answer:


So the solutions are x=%28-3%2B3%2Asqrt%286%29%29%2F5 or x=%28-3-3%2Asqrt%286%29%29%2F5.