Question

if roots of the equation 3x2+(9m+1)x+3(3m-2)=0 are reciprocal of each other then find the value of m

Answer 1

Answer:

Step-by-step explanation:

let roots are x,1/x

(with the help of product we can find the value of m)

Since the roots of the equation are reciprocal of each other, the product of the roots is= 1

so,

product=c/a (c is constant and a is coefficient of x²)

1=3(3m-2)/3

1=9m-6/3 (cross multiply)

m=1