If α and β be the zeroes of the polynomial x2 + 11x + k , where α2 + β2 = 115 , then the value of k Select an answerA1B2C3D6
Question
Solution 1
The zeroes of the polynomial x² + 11x + k are α and β.
According to Vieta's formulas, the sum of the zeroes (α + β) is equal to -b/a = -11/1 = -11 and the product of the zeroes (α*β) is equal to c/a = k/1 = k.
Given that α² + β² = 115, we can express this in terms of the sum and product of the ze Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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