Army Group X Practice Set 2

(d) Since, α,β are roots of equation x2−5x+3=0
∴‌‌α+β=5 and αβ=3
Now, for required equation
‌ Sum of roots ‌=‌

β

α

+‌

α

β

=‌

β2+α2

αβ

=‌

19

3

and product of roots =1
So, the required equation is
x2− (sum of roots) x+ product of roots =0
x2−‌

19

3

x+1=0
∴3x2−19x+3=0