Question

pls solve this IIT Q​

Answer 1

Explanation:

Hia buddy

x^2 - x -1 = 0..........(given)

if a and b are roots they will satisfy the quadratic equation

a^2 -a -1 = 0

a = a^2-1........ (1)

b^2 -b -1 = 0

b= b^2 -1........ (2)

a2012 - a2010/ a2011

(a^2012 - b^2012) - (a^2010 - b^2010)/a2011

a^2010(a^2 -1) - b^2010(b^2-1)/a2011

let's put equation (1)&(2)

a^2010(a)- b^2010(b)/ a2011

a^2011-b^2011/a2011

a2011/a2011

= 1

hope it helps you buddy