Question
The square of the sum of two numbers is 784. The sum of
squares of these numbers is 520. Find their product.Solution
Let the two numbers be 'a' and 'b' ATQ: (a + b)² = 784 So, a² + b² + 2ab = 784 Also, we have, a² + b² = 520 So, 2ab = 784 - 520 = 264 So, ab = (264 ÷ 2) = 132
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