Find the number of real root of the equation `|[0,x-a, x-b],[ x+a,0,x-c],[ x+b, x+c,0]|=0,a!=b!=c ` and`b(a+c)> a c`

If a,b,c in R, then find the number of real roots of the equation x,c,-b-c,x,ab,-a,x]|=0

If a,b,c, in R, find the number of real root of the equation |{:(x,c,-b),(-c,x,a),(b,-a,x):}| =0

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If a+b+c=0, solve the equation: |[a-x, c, b],[c,b-x, a],[b, a, c-x]|=0

If a ne b ne c , then one value of x which satisfies the equation. [(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)] = 0 is given by :

If a != b != c , are value of x which satisfies the equation |(0,x -a,x -b),(x +a,0,x -c),(x +b,x +c,0)| = 0 is given by

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is