Question

if alpha and bita are the zeroes of the ploynomial 3x square - x - 4 then find the value of alpha square - bita square

Answer 1

Answer:

we know that

Alpha +Beta = -b/a

Alpha + Beta = 1/3

Now

We also know that

Alpha - Beta = {√(b²-4ac)}/a

Alpha - Beta = {√(1+48)}/3

Alpha - Beta = 7/3

Now

According to question

Alpha²-Beta²=??

(Alpha - Beta)(Alpha + Beta)

7/3×1/3

=7/9 ans

Step-by-step explanation: