If the roots of the equation 12x2+mx+5=0  are in the ration 3:2,  then m  equals

The given equation is 12x2+mx+5=0 …… ( 1 ) Given that the roots Eq.( 1 )  are in the ratio 3 : 2Let the roots be 3α  and 2α  then sum of the roots ⇒5α=  −  m12      ….. ( 2 )And product of the roots ⇒6α2=  512    ….. ( 3 )Form( 2 ),α=  −m60;  substituting this value  in ( 3 ),  we get 6  (−m60)2  =  512 ⇒    m2=  512  ×  60×606  =250 ⇒    m=±250  ⇒  m=±510