What two numbers multiply to 65 and add up to -66?

Here we answer the question: "What two numbers multiply to 65 and add up to -66?"

The answer to your question is:

-65 and -1

Below we illustrate and prove that -65 and -1 multiply to 65 and add up to -66:

-65 × -1 = 65
-65 + -1 = -66

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

x² - 66x + 65 = 0

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

(x - 65 ) (x - 1)

To summarize, since -65 and -1 multiply to 65 and add up -66, you know that the following is true:

x² - 66x + 65 = (x - 65 ) (x - 1)

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.