Question

If α and β are the roots of 2x2 + x = 5, find the values of (α + 1) (β + 1) and α2 + β2

Answer 1

Answer:

Here a=1,b=2,c=−15

Sum of the roots=

a

−b

=

1

−2

=−2

Product of the roots=

a

c

=

1

−15

=−15

α

2

+β

2

=(α+β)

2

−2αβ

=(−2)

2

−2×−15

=4+30=34