The product of two integers is #-120# and their sum is #2#. How can you find the larger of the two numbers?
Let the two integers be
I would recommend solving through substitution.
Resubstitute into the initial equation:
Therefore, the larger number is
Hopefully this helps!
There are many combinations of numbers which multiply to give
We know one must be positive and one must be negative.
However these values have quite a big sum. (If we think about the absolute value and do not look at the signs)
To have a sum of only
Look for 'middle' factors - ie, those very close to the square root.
Find factors of
The larger one is