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

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

The answer to your question is:

-1 and 66

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

-1 × 66 = -66
-1 + 66 = 65

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

x² + 65x - 66 = 0

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

(x - 1 ) (x + 66)

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

x² + 65x - 66 = (x - 1 ) (x + 66)

Multiply To One Number and Add Up To Another
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