SOLUTION: If both the roots of the equation {{{x^2-2kx+k^2-4=0}}} lie between -3 and 5 then k lies between

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Question 1076736: If both the roots of the equation x%5E2-2kx%2Bk%5E2-4=0
lie between -3 and 5 then k lies between
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The roots of x%5E2-2kx%2Bk%5E2-4=0 are k-2 and k%2B2.

If k must be between -3 and +5, then
system%28-3%3Ck-2%2Cand%2Ck%2B2%3C5%29
Solve these two inequalities. Their intersection is what you want.

highlight%28-1%3Ck%3C3%29