What two numbers multiplied carry equal 2000 but added together equal 10?

Question

I need Help With Math Homework 

Answer 1

What two numbers multiplied carry equal 2000 but added together equal 10?

 

XY = 2000 AND X+4 = 10

X(10-X) = 2000.

 

This is a quadratic equation; can you solve it? 

Answer 2

Let x and y be the 2 numbers.

 

xy = 2000

x + y = 10

 

Solve for x and y.

 

y = 10 - x

x(10 - x) = 2000

-x² + 10x - 2000 = 0

x² - 10x + 2000 = 0

 

The solutions for x are complex numbers, since the discriminant of the quadratic equation is negative.  Please double check the original problem statement.