Question

If roots of 6x2

-13x+m=0 are reciprocal, then find m.​

Answer 1

Answer:

m=6

Step-by-step explanation:

given that 6x²-13x+m=0 has roots which are reciprocal of each other

let α and β be the roots of equation

so roots are α and 1/α [as roots are reciprocal of each other]

we know, that product of roots are= c/a

                                                  α.β =c/a

                                                  α·1/α=m/6

                                                     1=m/6

                                                       m=6 ,thus the value of m is 6