Question

if alpha and beta are zeroes of polynomial 3x square+2x-6,then find the value of alpha-beta​

Answer 1

Answer:

(√76)/3

Step-by-step explanation:

we have, 3x²+2x-6

let alpha and beta a and b respectively

which are the zeroes of the polynomial

so, a+b = -2/3

ab = -6/3 = -2 as we have to find that, (a-b)

and also, (a+b)

we can write it after squaring as,

(a+b)² =(a-b)²+ 4ab

so, (a-b)² = (a+b)²-4ab

by putting these value...

(a-b)² = (-2/3)² -4(-2)

= 4/9+8

=76/9

so, a-b = (√76)/3

as, alpha- beta = (√76)/3 .... ans