Question

Х y If (x2 + y2)(a + b2) = (ax + by)?, prove that = a b? ​

Answer 1

(a+b)2=a2+b2+2ab,(a−b)2=a2+b2−2ab

Given (x2+y2)(a2+b2)=(ax+by)2

x2(a2+b2)+y2(a2+b2)=(ax)2+(by)2+2(ax)(by)

⟹a2x2+b2x2+a2y2+b2y2=a2x2+b2y2+2abxy

⟹b2x2+a2y2=2abxy

⟹(bx)2+(ay)

(b×=y)

x = y

a=b