SOLUTION: k^2+5k=2

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Question 629623: k^2+5k=2
Answer by 55305(86) About Me  (Show Source):
You can put this solution on YOUR website!
To solve for k, lets complete the square.
Add (b/2a)^2 to each side:
k^2+5k+(5/4)^2= 2+(5/4)^2
k^2+5k+25/16= 57/16
Factor:
(k+5/4)^2= 57/16
Take the square root of each side:
k%2B5%2F4=+sqrt%2857%29%2F%284%29
Subtract 5/4 from each side to find k:
k=+sqrt%2857%29%2F%284%29-5%2F%284%29