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Home / If the product of two numbers is 56 and their sum is 15, find the numbers.

If the product of two numbers is 56 and their sum is 15, find the numbers.

February 22, 2026

If the product of two numbers is 56 and their sum is 15, find the numbers.

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Rewrite 64 as a power of 2: \( 64 = 2^6 \).
Therefore, \( 2^x = 2^6 \).
Equating the exponents, \( x = 6 \).
Let the numbers be \( x \) and \( y \).
We have \( xy = 56 \) and \( x + y = 15 \).
Solving the quadratic \( t^2 - 15t + 56 = 0 \) using the quadratic formula:

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