Question

if alpha and beta are the zeores of polynomial 3x2+2x+6, then find the value of 1/alpha+1/beta​

Answer 1

Let alpha=a and beta=b

Now,

1/a + 1/b = a+b/ab

a+b = Sum of zeroes = -2/3

ab = Product of zeroes = 2

Now,

1/a + 1/b = a+b/ab = -2/3 ÷ 2 = -1/3

So, 1/alpha + 1/beta = a+b)/ab = -1/3.