Question

If α,β are the roots of x^2+x+3=0 then 5α +α^2 +3α + 5β+3 =

Answer 1

Sum of Zeroes is a+B=-1/1

a+B=-1

a=-B-1..(1)

Product of Zeroes is a×B=3/1=3

B(-B-1)=3

-B^2-B=3

-B-1=3

B=-4

replace the value in equation 1

a=-4-1

a=-5

Replace this value a and B in the polynomial

Now, u solve yourself by putting the a and B value