The roots of the equation `|[x,b,c],[b,c,x],[c,x,b]|=0` are

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

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 andb(a+c)> a c

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

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

if the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal then show that (2)/(b)=(1)/(a)+(1)/(c)

If the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal,show that 2/b=1/a+1/c.

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

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

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