(a?+b): (a2-b-) =(ac+bd): (ac-bd)
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(a2+b2)x2−2(ac+bd)x+(c2+d2)=0 has equal roots.
Therefore, discriminant =0
Thus [2(ac+bd)]2+4(a2+b2)(c2+d2)
⇒a2c2+b2d2+2ac.bd=a2c2+a2d2+b2c2+b2d2
⇒(ad−bc)2=0$
⇒ad−bc=0
⇒ad=bc
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