[" 23.If the roots of the equation "(z^(2)+b^(2))z^(2)-2(ac+ba)x+(c^(2)+b^(2))=0" are "],[" caual,prove that ad "=bc" ."]

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 (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 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

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are,when ab+bc+ca=0

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" .

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0