If `a+b+c=0` and `|[a-x,c,b],[c,b-x,a],[b,a,c-x]|=0` then x=

If a+b+c=0 and |{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 then find the value of x

If a+b+c=0and|(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 , then show that either x=0 or x=pmsqrt((3)/(2)(a^(2)+b^(2)+c^(2)))

a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0

Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a+b+c!=0.

Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a+b+c!=0.

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

If |[a,b,c],[b,a,b],[x,b,c]|=0 then x=____.

If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is a. x=1 b. x=2 c. x=a^2+b^2+c^2 d. x=0

If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is a. x=1 b. x=2 c. x=a^2+b^2+c^2 d. x=0