Question
The sum of squares of two positive numbers is 185 while
the product of these two numbers is 88. What is the square of the sum of the two numbers?Solution
Let the two numbers be ‘a’ and ‘b’ According to the question, a2 + b2 = 185 And, a × b = 88 Since, (a + b)2 = a2 + b2 + 2ab So, (a + b)2 = 185 + 2 × 88 = 361
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