SOLUTION: What is the value of k if one root of (3k+1)x^2-2kx=-5 is 1?

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Question 119661: What is the value of k if one root of (3k+1)x^2-2kx=-5 is 1?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If 1 is a root, then f%281%29=0.

%283k%2B1%29x%5E2-2kx=-5 Start with the given equation


%283k%2B1%29x%5E2-2kx%2B5=0 Add 5 to both sides


%283k%2B1%29%281%29%5E2-2k%281%29%2B5=0 Plug in x=1


3k%2B1-2k%2B5=0 Simplify


k%2B6=0 Combine like terms on the left side


k=-6Subtract 6 from both sides

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Answer:
So our answer is k=-6