Question

If α and β are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of α/1- α2 + β/1 - β2 is equal to :

Answer 1

Answer:

α+β = 3/7

αβ = -2/7

[(α+β)-αβ(α+β)]/[1-(α2+β2)+(αβ)2]

= [(3/7)+(2/7)×(3/7)](1-{(9/49)+(4/7)}+(4/49))

= (21+6)/49(16/49)

= 27/16

Answer: (3)

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