If `a,b,c , in R`, then find the number of real roots of the equation `Delta = |(x,c,-b),(-c,x,a),(b,-a,x)|=0`

The number of real roots of the equation |x|^(2) - 3|x| + 2 = 0 is a)1 b)2 c)3 d)4

If a,b, and c are non - zero real numbers, then Delta=|(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)b^(2),ab,a+b)| is equal to a) abc b) a^(2)b^(2)c^(2) c)bc+ca+ab d)None of these

In a triangle ABC, if angle A=60^@ a=5 , b=4 then c is a root of the equation