Question

If alpha,beta Bare the zeros of the polynomial p(x) = 4x* + 3x +7, then 1/alpha+1/beta is equal to ​

Answer 1

Step-by-step explanation:

let a, b be the two roots of this equation

sum of roots = a+b=-3/4 (as sum of roots for ax^2+bx+c=0 is -b/a)

product of roots ab= 7/4 ( as product of roots of equation ax^2+bx+c=0 is c/a)

we have to find

1/a+1/b

take lcm, we get

a+b/ab= we know value of a+b and ab put it in this equation

we get -3/4/7/4 we get

-3/7