SOLUTION: x^2 + 7x + 3(11 - k*x) + 8k = 0 For which value of k there exists one solution? Determine the solution for that value. Thank you!

Algebra ->  Equations -> SOLUTION: x^2 + 7x + 3(11 - k*x) + 8k = 0 For which value of k there exists one solution? Determine the solution for that value. Thank you!      Log On


   

Question 986759: x^2 + 7x + 3(11 - k*x) + 8k = 0
For which value of k
there exists one solution? Determine the solution for that value.
Thank you!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify and use discriminant.

Skipping many of the steps, discriminant is 9k%5E2-74k-83=0
-
k=%2874%2B-+sqrt%2874%5E2%2B36%2A83%29%29%2F18
k=%2874%2B-+sqrt%288464%29%29%2F18
k=%2874%2B-+92%29%2F18
-
highlight%28k=-1%29 or highlight%28k=9%262%2F9%29



--
ONE solution required that discriminant be 0.
Discriminant must be positive for two real solutions.