SOLUTION: Find the largest integral value of k such that the roots of 2x^2-5x+k are real.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Find the largest integral value of k such that the roots of 2x^2-5x+k are real.      Log On


   

Question 396941: Find the largest integral value of k such that the roots of 2x^2-5x+k are real.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We want the discriminant of the equation to be nonnegative. This means,

25+-+4%282%29%28k%29+%3E=+0

25+-+8k+%3E=+0

25%2F8+%3E=+k

The largest integral value is 3.