Polynomials · Class 10 · CBSE Mathematics
If alpha and eta are the zeroes of the polynomial f(x) = x^2 - 5x + k such that alpha - eta = 1, find the value of k.
Practice question from Polynomials (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-7D4C60
If and eta are the zeroes of the polynomial such that \alpha - eta = 1, find the value of .
- A.4
- B.5
- C.6Correct answer
- D.7
Solution
We know that \alpha + eta = 5 and \alphaeta = k. Also, (\alpha - eta)^2 = (\alpha + eta)^2 - 4\alphaeta. Substituting the given values, , which gives , so , and .
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