What two numbers multiply to -26 and add up to 25?

Here we answer the question: "What two numbers multiply to -26 and add up to 25?"

The answer to your question is:

-1 and 26

Below we illustrate and prove that -1 and 26 multiply to -26 and add up to 25:

-1 × 26 = -26
-1 + 26 = 25

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

x² + 25x - 26 = 0

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

(x - 1 ) (x + 26)

To summarize, since -1 and 26 multiply to -26 and add up 25, you know that the following is true:

x² + 25x - 26 = (x - 1 ) (x + 26)

Multiply To One Number and Add Up To Another
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