Question

find the largest value of k in the equation kx^2 -5x+3=0 that will make its roots real

Answer 1

im pretty sure the answer is 2, but i need to show proper work and i usd guess and check which will not earn me credit. any other ways to figure it out?

Answer 2

Use the quadratic formula.

Answer 3

\[\Delta = b^2 - 4.a.c\]
\[\Delta = 25 - 12k\]
If we want real roots, \[\Delta \ge 0\]
So:
\[25-12k \ge 0 => k \le 25/12\]