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 root of the equation : |(a-x,b,c),(0,b-x,0),(0,b,c-x)|=0 are :

A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

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

If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

If the roots of the equation (a-b)x^(2)+(b-c)x+(c-a)=0 are equal, then

If a,b,c are positive real numbers, then the roots of the equation ax^(2) + bx + c =0

If a, b and c are distinct real numbers, prove that the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has real and distinct roots.

if one of the root of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 is 1,the other root is

If a ne bne c one value of x which satisfies thte equation : |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is given by :