Question

if alpha and beta are the zeros of the quadratic polynomial 20 X square + 25 x + 5 find the value of one by Alpha square + 1 by beta square

Answer 1

1/alpha+1/beta

=(alpha+beta)/(alpha*beta)...............(1)

Sum of roots=-b/a

20x^2+25x+5=0

alpha+beta=-b/a

=-25/20

=-5/4

alpha*beta=c/a

=5/20

=1/4

The solution is (see 1):

=-5/4/1/4

=-5/4*4

=-5

The answer is -5.

Hope it helps.