Product of two numbers is 12 the sum of their squares is 25 The sum of the two numbers is
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The sum of the two numbers is equal to 7.
Let the two numbers be a and b respectively.
Given the product of the two numbers = 12
=> ab = 12
The sum of the square of the numbers = 25
=> a²+b² = 25
Using the equation -
(a + b)² = a² + b² + 2ab
=> (a+b)² = 25 + 2 × 12
=> (a+b)² = 49
=> (a+b) = 7
The sum of the two numbers will be equal to 7 and the two numbers will be 3 , 4.
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