Question

What two numbers multiply 25 and add 26

Answer 1

Let's set our two numbers as x and y:

When two numbers multiply 25 --> xy = 25

Add to 26 --> x + y =26

The equations:

• xy = 25  <-- equation 1
• x + y = 26 <-- equation 2

Now Solve:

Solve for y in the equation 2:

 y = 26 - x <-- equation 3

Plug equation 3's value of y into equation 1

x(26 - x) = 25

-x^2 + 26x - 25= 0

x^2 - 26x + 25 = 0

 (x - 1) (x -25) = 0

Thus say x = 1, then y = 25, it can be either way that x = 25 and y = 1, but our two numbers are 1 and 25

Hope that helps!