Question

if the roots of x^2-2mx+m^2-1=0 lie between -2 and 4,then​

Answer 1

please see the attachment

Answer 2

Answer:

m∈ (-3,-1)U(3,5)

Step-by-step explanation:

Step 1) F(K1) * F(K2) <0          (formula)

Step 2) 4+4m+m²-1 * (16-8m+m²-1)<0       (After putting the values)

           (m²+4m+3) (m²-8m+15)<0

Step 3) (m+1)(m+3)(m-1)(m-5)        (now the roots are)

Now according to wavy curve method we can say that

m∈ (-3,-1)U(3,5)

Done, hope u learnt sth new :D