There are two positive number p and q such that p + q = 2 and p4 + q4 = 272. Find the quadratic equation whose roots are p and q.
(1) x2 – 2x + 2 = 0
(2) x2 – 2x + 135 = 0
(3) x2 – 2x + 16 = 0
(4) x2 – 2x + 130 = 0
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Ans : (3) x2 - 2x + 16 = 0
Solution :
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