Home
Class 11
MATHS
Show that the equation A^2//(x-a)+B^2//(...

Show that the equation `A^2//(x-a)+B^2//(x-b)+C^2//(x-c)+...+H^2//(x-h)=k` has no imaginary root, where `A ,B ,C ,..... ,Ha n da ,b ,c ,........ ,ha n dk in Rdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the equation A^(2)/(x-a)+B^(2)/(x-b)+C^(2)/(x-c)+...+H^(2)/(x-h)=k has no imaginary root,where A,B,C,...., Handa,b,c,........., handk in R

Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.....+H^2/(x-h)=k has no imaginary root, where A,B,C....H and a,b,c....,and Kin R.

Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.+H^2/(x-h)=x+1 where A,B,C ,……, a,b,c and i are real cannot have imaginary roots.

If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has imaginary roots then

If the quadratic equation alpha x^(2)+beta x+a^(2)+b^(2)+c^(2)-ab-bc-ca=0 has imaginary roots then

Show that the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal if a,b,c are in H.P.

If the equation a(b - c)x^2 + b(c - a)x+c (a -b) = 0 has equal roots, prove that 1/a+1/c=2/b