GIVEN: [210+2(x−3)−2x] is the perfect square of 24. FORMULA USED: (x−y)2=x2+y2−2xy CALCULATION: As given: [210+2(x−3)−2x]=242 ⇒[210+2(x−3)−2x]=576 ⇒[2x−2(x−3)]=1024−576 ⇒[2x−2(x−3)]=448 ⇒2(x−3)[23−1]=448 ⇒2(x−3)=64 ⇒2(x−3)=26 So, (x – 3) = 6 ⇒ x = 9