For what value of k does the equation, 2x2 - 5x + k = 0 have both the roots in the interval (0, 1)?
Question
Solution 1
The roots of the quadratic equation ax^2 + bx + c = 0 are given by the formula x = [-b ± sqrt(b^2 - 4ac)] / 2a.
For the roots to lie in the interval (0,1), the discriminant (b^2 - 4ac) must be greater than or equal to 0.
In this case, a = 2, b = -5, and c = k.
So, we have (-5)^2 - 42k >= 0, Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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