Let equation x3 – 9x2 + 24x + λ = 0 has three real and distinct roots a, b, c. If λ ∈ (–20, –18), then the value of ([a] + [b] + [c]) will be

Question

Let equation x3 – 9x2 + 24x + λ = 0 has three real and distinct roots a, b, c. If λ ∈ (–20, –18), then the value of ([a] + [b] + [c]) will be
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Solution 1

The given equation is a cubic equation. According to Vieta's formulas, the sum of the roots of a cubic equation ax³ + bx² + cx + d = 0 is -b/a. In this case, a = 1, b = -9, so the sum of the roots a + b + c = -(-9) = 9.

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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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