If α and β are the zeroes of the quadratic polynomial p(x) =x2-5x+6, find the value of α2+β2, α3+β3.
Full explanation...
Answers
Answered by
1
Step-by-step explanation:
Sum of the roots=α+β=-b/a=5/2
Product of the roots=αβ=ca=6/2=3
(i)α²+β²=(α+β)²−2αβ
=
=25/4-6=1/4
(ii)α³+β³=(α+β)[(α+β)²−3αβ]
=
=
Similar questions