Question

if alpha + beta are the zeros of 2 x square - 4 x + 5 then find the value of 1 by Alpha square + 1 by beta square

Answer 1

We know that alpha + beta is -b/a ie.
-(-4)/2=2 and alpha×beta is c/a ie. 5/2
Now we need answer for 1/alphasqare +1/betasqare now cross multiply u will get betasquare + alpha square ÷(alphabeta)square
By using formula u can derive betasquare + alpha square as (alpha+beta)square -2alphabeta ÷(alphabeta)square now substitute alpha+beta and alpha×beta value in it