SOLUTION: determine the value of x, if (2x+7)^2=25

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Question 793968: determine the value of x, if (2x+7)^2=25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B7%29%5E2=25 Start with the given equation.


2x%2B7=%22%22%2B-sqrt%2825%29 Take the square root of both sides.


2x%2B7=sqrt%2825%29 or 2x%2B7=-sqrt%2825%29 Break up the "plus/minus" to form two equations.


2x%2B7=5 or 2x%2B7=-5 Take the square root of 25 to get 5.


2x=-7%2B5 or 2x=-7-5 Subtract 7 from both sides.


2x=-2 or 2x=-12 Combine like terms.


x=-1 or x=-6 Divide both sides by 2 to isolate x.


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Answer:


So the solutions are x=-1 or x=-6.