Question

if the roots of equation 3x^2_5x+2k=0 are real roots then write the condition in k

Answer 1

3x² - 5x + 2k = 0

if the roots are real, then the discriminant must be greater or equal to zero:

b² - 4ac ≥ 0

(-5)² - 4(3)(2k) ≥ 0

25 - 24k ≥ 0

-24k ≥ -25

k ≤ 25/24