SOLUTION: Find the value of k so that the equation will have exactly on rational solution. {{{36x^2+kx+49=0}}}

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Question 48287: Find the value of k so that the equation will have exactly on rational solution.
36x%5E2%2Bkx%2B49=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
36x^2+kx+49=0
discriminant = b^2-4ac
discriminat must be zero to have one rational solution
k^2-4(36)(49)=0
k^2=4(36)(49)
k=2(6)(7)
k=+84 or -84
Cheers,
Stan H.