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Question
Find the values of m so that the quadratic equation 3x2 – 5x – 2m = 0 has two distinct real roots.
Solution
3x2 – 5x – 2m = 0
Here a = 3, b = -5, c = -2m
∴ D = b2 – 4ac
= (5)2 –4 x 3 x (–2m)
= 25 + 24m
∵ Roots are real and distinct
∴ D> 0
25 + 24m > 0
24m > –25
m > `-(25)/(24)`.
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