[" 21.If the roots of the equation "(a^(2)+b^(2))x^(2)-2(ac+bd)x],[" equal,prove that "ad=bc" ."]

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

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

If the roots of the quadratic equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0 are equal, prove that a/b=c/d .

If the roots of the equation (c^(2)-ab)x^(2)-2(a^(2)-bc)x+b^(2)-ac=0 are equal,prove that either a=0 or a^(3)+b^(3)+c^(3)=3abc

If the roots of the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are real where a,b,c,d in R ,then they are Rational Irrational Equal unequal

If the equation (a^(2)+b^(2))x^(2)-2 (ac +bd)x+c^(2)+d^(2)=0 , has equal roots , then

The roots of the equation (a^(2)+b^(2))x^(2)-2(bc+ad)x+(c^(2)+d^(2))=0 are equal if

If the roots of the equation (c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0 are real and equal prove that either a=0 (or) a^(3)+b^(3)+c^(3)=3"abc" .

If the roots of the equation (a^(2) + b^(2))x^(2) - 2(ac + bd) x + (c^(2) + d^(2)) = 0 are equal prove that (a)/(b) = (c )/(d)

If the roots of the quadratic equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 be equal then prove that (a)/(b)=(c)/(d)