Question

If the zeroes of the polynomial P(x) = 6x2 – 13x +
3m - 9 are inverse to the each other;find the value
of m.
​

Answer 1

Let the zeroes of the polynomial be a and b

From the question,

a=1/b

Then, from the relation

product of the two zeroes of the polynomial= constant/ coefficient of x^2

We have, a*b = 3m-9/6

1/b*b = 3m-9/6

1 = 3m-9/6

3m-9 = 6

3m = 15

m = 15/3

m=5

Therefore, the value of m is 5.