SOLUTION: 3(x-5) squared-12=o. plz show me how to get the answers of 7 and 3

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Question 499354: 3(x-5) squared-12=o. plz show me how to get the answers of 7 and 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-5%29%5E2-12=0 Start with the given equation.


3%28x-5%29%5E2=0%2B12Add 12 to both sides.


3%28x-5%29%5E2=12 Combine like terms.


%28x-5%29%5E2=%2812%29%2F%283%29 Divide both sides by 3.


%28x-5%29%5E2=4 Reduce.


x-5=%22%22%2B-sqrt%284%29 Take the square root of both sides.


x-5=sqrt%284%29 or x-5=-sqrt%284%29 Break up the "plus/minus" to form two equations.


x-5=2 or x-5=-2 Take the square root of 4 to get 2.


x=5%2B2 or x=5-2 Add 5 to both sides.


x=7 or x=3 Combine like terms.


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Answer:


So the solutions are x=7 or x=3.