SOLUTION: solve 5(x-2)² = 3

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Question 173540: solve 5(x-2)² = 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%28x-2%29%5E2=3 Start with the given equation.


%28x-2%29%5E2=%283%29%2F%285%29 Divide both sides by 5.


x-2=0%2B-sqrt%283%2F5%29 Take the square root of both sides.


x-2=sqrt%283%2F5%29 or x-2=-sqrt%283%2F5%29 Break up the "plus/minus" to form two equations.


x-2=sqrt%2815%29%2F5 or x-2=-sqrt%2815%29%2F5 Simplify the square root.


x=2%2Bsqrt%2815%29%2F5 or x=2-sqrt%2815%29%2F5 Add 2 to both sides.


x=%2810%2Bsqrt%2815%29%29%2F%285%29 or x=%2810-sqrt%2815%29%29%2F%285%29 Combine the fractions.


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Answer:


So the solutions are x=%2810%2Bsqrt%2815%29%29%2F%285%29 or x=%2810-sqrt%2815%29%29%2F%285%29.