Question

If α,β are the roots of ax2+bx+c=0 , then (aα+b)−2+(aβ+b)−2 is​

Answer 1

Given α,β are roots of ax

2

+bx+c=0

aα

2

+bα+c=0⇒aα+b=

α

−c

aβ

2

+bβ+c=0⇒aβ+b=

β

−c

aα+b

β

+

aβ+b

α

=

−c

αβ

+

−c

αβ

=

a

−2

Hence