SOLUTION: -4(k-8)²=16

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Question 172644: -4(k-8)²=16
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-4(k-8)²=16
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I suppose that's possible. Do you have a question?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%28k-8%29%5E2=16 Start with the given equation.


%28k-8%29%5E2=%2816%29%2F%28-4%29 Divide both sides by -4.


%28k-8%29%5E2=-4 Reduce.


x-8=0%2B-sqrt%28-4%29 Take the square root of both sides.


k-8=sqrt%28-4%29 or k-8=-sqrt%28-4%29 Break up the "plus/minus" to form two equations.


k-8=2i or k-8=-2i Simplify the square root. Note: i=sqrt%28-1%29


k=8%2B2i or k=8-2i Add 8 to both sides.



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Answer:


So the solutions are k=8%2B2i or k=8-2i.