SOLUTION: For which value or values of k, if any,does the quadratic equation in x, (k-8)xx +. Kx. -1. =0 have exactly one solution

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Question 380585: For which value or values of k, if any,does the quadratic equation in x,
(k-8)xx +. Kx. -1. =0
have exactly one solution
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
There is 1 solution exactly when the discriminant is zero :

The discriminant is here the quantity : k^2-4*(-1)*(k-8) = k^2+4k-32 = (k+8)(k-4)

Hence when k=-8 or +4 there is one solution.