SOLUTION: whats the answer to 5(x+6)^2=80 using the square root method

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Question 611361: whats the answer to 5(x+6)^2=80 using the square root method
Found 3 solutions by jim_thompson5910, stanbon, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%28x%2B6%29%5E2=80 Start with the given equation.


%28x%2B6%29%5E2=%2880%29%2F%285%29 Divide both sides by 5.


%28x%2B6%29%5E2=16 Reduce.


x%2B6=%22%22%2B-sqrt%2816%29 Take the square root of both sides.


x%2B6=sqrt%2816%29 or x%2B6=-sqrt%2816%29 Break up the "plus/minus" to form two equations.


x%2B6=4 or x%2B6=-4 Take the square root of 16 to get 4.


x=-6%2B4 or x=-6-4 Subtract 6 from both sides.


x=-2 or x=-10 Combine like terms.


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Answer:


So the solutions are x=-2 or x=-10.
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
whats the answer to 5(x+6)^2=80 using the square root method
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(x+6)^2 = 16
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x+6 = 4 or x+6 = -4
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x = -2 or x = -10
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
+5%28x%2B6%29%5E2=80
+%28x%2B6%29%5E2=16
x = -6 ± 4
x = -10,-2