If the equation x2+λx+μ=0 has equal roots and one root of the equation x2+λx-12=0 is 2, then (λ, μ)=

We have equal roots, therefore λ2=4μ.Now second equation x2+λx-12=0 has a root 2, soput x=2⇒4+2λ-12=0⇒λ=4Hence from λ2-4μ, we have μ=164=4⇒(λ, μ)=(4, 4).