Question

If alpha and beta are the zeroes if the quadratic polynomial x^2 - 5x + 6, find the value of 1/alpha + 1/beta — 2 alpha beta

Answer 1

Step-by-step explanation:

x2 - 5x + 6 is equal to 0

therefore

x2 - 3x - 2x + 6 is equal to 0

x( x - 3 ) - 2(x - 3 ) =0

therefore

x=3 or x =2

that is

alpha =3 or beta =2

now,

1/alpha + 1/beta -2alpha beta

=1/3 + 1/2 - 2 * 6

=1/3 +1/2-12

= 2+3/6 -12

=5/6 -12

=5-72/6

=-67/6

done

hope it is correct