There is a solution, but you might not have learned how to do it yet
in middle school.
If you've learned to use the quadratic formula to solve a quadratic equations,
then you can do this.
The first requirement says: ' x ' times ' y ' = 16
The second requirement says: (x + y) = -2
Take the second requirement, and subtract ' x ' from each side:
y = -x - 2
Substitute this into the first requirement:
' x ' times (-x - 2) = 16
Eliminate parentheses:
-x² - 2x = 16
Subtract 16 from each side:
-x² - 2x - 16 = 0
Multiply each side by -1:
x² + 2x + 16 = 0
Solve this with the quadratic formula, and you get two solutions,
which are the two numbers that satisfy both requirements.
The numbers are
-1 + √-15
-1 - √-15
Check:
-- Product: (-1 + √-15) times (-1 - √-15) = 1 + 15 = 16
-- Sum = -1 + √-15 -1 - √-15 = -2
They work.
yay
