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

Explanation

(i)`4(ac+bd)^(2)-4(a^(2)+b^(2))(c^(2)+d^(2))=0`
`implies" "(a^(2)+b^(2))(c^(2)+d^(2))-(ac+bd)^(2)=0`
`implies" "a^(2)d^(2)+b^(2)c^(2)-2abcd=0implies(ad-bc)^(2)=0impliesad-bd=0`
`implies" "ad=bcimplies(a)/(b)=(c)/(d).`