Question

If the zeroes of quadratic polynomial p (x) = 6x²-13x + 3m -9 are reciprocal of each other, then m =

Answer 1

Answer:

Step-by-step explanation:

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.

Answer 2

ANSWER: M=5

Step-by-step explanation:

^➋++=⓿

here a=6 b= -13 c=3m-9

^-1

there fore product of zeroes = alpha×beta=c/a

1=3m-9/6 [beta=1/alpha]

6=3m-9

3m=15

m=5