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