Question

If the roots of the equation 12x² + mx +5 = 0 are in the ratio 3:2, then m is equal to
(A) 1 / 2
(B) 5 / 12
(C) 5√10
(D) 5 /12√10​

Answer 1

Step-by-step explanation:

let the roots be 3x and 2x

sum of roots=-b/a

3x+2x=-m/12=

x=m/60

again, product of roots=c/a

3x*2x=5/12

6x*x=5/12

x*x=5/72

m/60*m/60=5/72

m*m=5/72*3600

m*m=5*1800/36

m*m=5*900/18

m*m=5*450/9

m*m=5*50

m*m=5*5*5*2

m=5×√5×2

m=5√10