Question

If the equation x² – ax + 1 = 0 has two distinct roots, then 

A. |a|= 2 

B. |a|< 2 

C. |a|> 2 

D. None of these

Answer 1

If roots of given equation are distinct then 

d = b² – 4ac > 0 

Here a = 1, b = a, c = 1 

So,

a² – 4(1) (1) >0 

a² – 4 > 0 

a² >4 

|a| > 2