The range of real number k for which the equation x2 – 3x + k = 0 has two distinct real roots in [–1, 2], is
Question
Solution 1
The given quadratic equation is x² - 3x + k = 0.
For this equation to have two distinct real roots, the discriminant (b² - 4ac) must be greater than 0.
Here, a = 1, b = -3, and c = k.
So, the discriminant is (-3)² - 4(1)(k) = 9 - 4k.
For two distinct real roots, 9 - 4k > 0.
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