Question

If the roots of 2x² – 3x + 1 = 0 are a and ß,then the equation of roots alpha/1+alpha,beta/1+beta is​

Answer 1

Answer:

α+β=

2

3

And

α.β=−3

Therefore,

α

2

+β

2

=(α+β)

2

−2αβ

=

4

9

+6

=

4

33

Hence, the equation will be

x

2

−(

4

33

+4)x+(9+2(

4

33

+4)=0

4x

2

−49x+118=0.