Question

The number of values of $k$ for which the equation $x^2 - 3x + k = 0$ has two distinct roots lying in the interval $(0, 1)$ are

• A. Three
• B. Two
• C. Infinitely many
• D. No values of k satisfies the requirement

Answer 1

Answer: (D)

No values of k satisfies the requirement

Answer 2

As $-\frac{b}{2a}=\frac{3}{2}\notin\left(0, 1\right),$ so both roots can not lie between 0 and 1. So no values of k possible.