SOLUTION: I think this problem mostly has to do with the discriminant,but I tried the ways showed on the website and I'm still confused. If 4x^2+kx+6=0 has one real root, find k.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I think this problem mostly has to do with the discriminant,but I tried the ways showed on the website and I'm still confused. If 4x^2+kx+6=0 has one real root, find k.      Log On


   

Question 120921: I think this problem mostly has to do with the discriminant,but I tried the ways showed on the website and I'm still confused.
If 4x^2+kx+6=0 has one real root, find k.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 4x^2+kx+6=0 has one real root, find k.
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You are right about the discriminant.
The discriminant must be zero if there is to be only one real root.
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k^2-4*4*6=0
k^2-96=0
k = sqrt96 or k=-sqrt96
k = 4sqrt6 or k= -4sqrt6
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Cheers,
Stan H.