If the equation x2−2mx+7m−12=0 has equal roots, then m=

The given equation is x2−2mx+7m−12=0 ….. ( 1 ) By the given condition Eq.( 1 ) has equal rootsSo the discriminant will be zero,i.e., b2−4ac=0 ⇒(2m)2−4(7m−12)=0     ( ∵  from Eq. ( 1 ) a=1,b=−2m,c=7m−12  )⇒ 4m2−28m+48=0 ⇒ m2−7m+12=0 ⇒ (m−3)(m−4)=0      ∴ m=3,4