Well, isn't that a happy little math problem we have here? If we think of two numbers that multiply to 25, we can have 5 and 5. And if we add them together, we get 10. But to make them add up to -10, we can have -5 and -5. Remember, mistakes are just happy accidents in the world of numbers!
To find two numbers that multiply to 25 and add up to -10, we need to solve a system of equations. Let the two numbers be x and y. We have the equations xy = 25 and x + y = -10. By substituting y = -10 - x into the first equation, we get x(-10 - x) = 25. Simplifying this quadratic equation gives us x^2 + 10x + 25 = 0, which factors to (x + 5)(x + 5) = 0. Therefore, the two numbers are both -5.
125
119
To find two numbers that multiply to -100 and add up to -25, we can set up a system of equations. Let's call the two numbers x and y. We have the equations xy = -100 and x + y = -25. By solving these equations simultaneously, we can find that the two numbers are -20 and 5.
1
-409
To find two numbers that multiply to -100 and add up to -25, we can set up a system of equations. Let's call the two numbers x and y. We have the equations xy = -100 and x + y = -25. By solving these equations simultaneously, we can find that the two numbers are -20 and 5.
125
119
-29
25 and 12
1
-409
125
175
The two numbers that multiply to make 25 and add to make 35 are 25 and 10. This is because 25 x 10 = 250 and 25 + 10 = 35. These two numbers satisfy both conditions simultaneously.
-27
169