Question

If alpha, beta are the two zeroes of a polynomial x-5x + 6. then the value of 1/alpha square + 1/ beta square is

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Answer 1

Answer:

x^2 -5x +6 gives a + b = -(-5/1) = 5 and ab= (6/1) =6

(1/a^2) + (1/b^2) = {(1/a) + (1/b)}^2 - 2(1/a)(1/b) =

{(a+b)/ab}^2 - 2/(ab) = {(5)/6}^2 - 2/6

=25/36 - 2/6 = (25-12)/36 = 13/36 Ans