What two numbers multiply to -46 and add up to 45?

Here we answer the question: "What two numbers multiply to -46 and add up to 45?"

The answer to your question is:

-1 and 46

Below we illustrate and prove that -1 and 46 multiply to -46 and add up to 45:

-1 × 46 = -46
-1 + 46 = 45

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 45x - 46 = 0

If so, the solution to factor the quadratic equation above is:

(x - 1 ) (x + 46)

To summarize, since -1 and 46 multiply to -46 and add up 45, you know that the following is true:

x² + 45x - 46 = (x - 1 ) (x + 46)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.