SOLUTION: Solve for X in terms of K using quadratic formula: (x-3)(2x+5) = x-15+K I have this problem figured out correctly to the following point: x=[2+- sqrt(4+8K)]/4 I'm having tr

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve for X in terms of K using quadratic formula: (x-3)(2x+5) = x-15+K I have this problem figured out correctly to the following point: x=[2+- sqrt(4+8K)]/4 I'm having tr      Log On


   

Question 884528: Solve for X in terms of K using quadratic formula:
(x-3)(2x+5) = x-15+K
I have this problem figured out correctly to the following point:
x=[2+- sqrt(4+8K)]/4
I'm having trouble reducing the problem to its simplest form. I know that the 4 and 8K in sqrt(4+8K) can be reduced somehow but I'm having issues with it.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not having yet checked your solution for x, a way to manage the irrational piece can be like so:

sqrt%284%2B8K%29
sqrt%284%281%2B2K%29%29
sqrt%282%5E2%2A%281%2B2K%29%29
2%2Asqrt%281%2B2K%29
Allowing you to reduce the rational expression solution for x.