The range of real number k for which the equation x2 – 3x + k = 0 has two distinct real roots in [–1, 2], isOnly one correct answerA.

Question

The range of real number k for which the equation x2 – 3x + k = 0 has two distinct real roots in [–1, 2], isOnly one correct answerA.
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Solution 1

The given quadratic equation is x² - 3x + k = 0.

For a quadratic equation ax² + bx + c = 0 to have two distinct real roots, the discriminant (b² - 4ac) must be greater than 0.

In this case, a = 1, b = -3, and c = k. So, the discriminant is (-3)² - 4(1)(k) = 9 - 4k.

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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