SOLUTION: Solve the equation by the square root property. (4x + 3)2 = 5

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Question 644355: Solve the equation by the square root property.
(4x + 3)2 = 5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%2B3%29%5E2=5 Start with the given equation.


4x%2B3=%22%22%2B-sqrt%285%29 Take the square root of both sides.


4x%2B3=sqrt%285%29 or 4x%2B3=-sqrt%285%29 Break up the "plus/minus" to form two equations.


4x%2B3=sqrt%285%29 or 4x%2B3=-sqrt%285%29 Simplify the square root.


4x=-3%2Bsqrt%285%29 or 4x=-3-sqrt%285%29 Subtract 3 from both sides.


x=%28-3%2Bsqrt%285%29%29%2F4 or x=%28-3-sqrt%285%29%29%2F4 Divide both sides by 4.

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Answer:


So the solutions are x=%28-3%2Bsqrt%285%29%29%2F4 or x=%28-3-sqrt%285%29%29%2F4.