Question

If alpha and beta are the zeroes of f(x) = 2x"2 - x -6 then find the value of alpha"2 + beta" 2

Answer 1

Answer:

=3.25 (or) 13/4

Step-by-step explanation:

first find the value of alpha + beta that in this case is 1/2 and then find value of alpha*beta that is -3 after which as we know that (a + b)^2 -2ab = a^2 + b^2 where a = alpha and b = beta so after substituting the values 1/2 = a+b and -3= a*b

this will give us the eq

a^2 + b^2 = (a +b)^2 - 2ab

                 =(1/2)^2 - 2(1/2)(-3)

                 =1/4-(-3)

                 = 1/4+3

                 =3.25 (or) 13/4