SOLUTION: which is the solution of (6x+4)^2=77

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Question 256116: which is the solution of (6x+4)^2=77
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%286x%2B4%29%5E2=77 Start with the given equation.


6x%2B4=%22%22%2B-sqrt%2877%29 Take the square root of both sides.


6x%2B4=sqrt%2877%29 or 6x%2B4=-sqrt%2877%29 Break up the "plus/minus" to form two equations.


6x=-4%2Bsqrt%2877%29 or 6x=-4-sqrt%2877%29 Subtract 4 from both sides.


x=%28-4%2Bsqrt%2877%29%29%2F6 or x=%28-4-sqrt%2877%29%29%2F6 Divide both sides by 6 to isolate x.


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Answer:


So the solutions are x=%28-4%2Bsqrt%2877%29%29%2F6 or x=%28-4-sqrt%2877%29%29%2F6.