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    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?
    A 324 Correct Answer Incorrect Answer
    B 361 Correct Answer Incorrect Answer
    C 400 Correct Answer Incorrect Answer
    D 289 Correct Answer Incorrect Answer

    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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