What two numbers multiply to -61 and add up to 60?

Here we answer the question: "What two numbers multiply to -61 and add up to 60?"

The answer to your question is:

-1 and 61

Below we illustrate and prove that -1 and 61 multiply to -61 and add up to 60:

-1 × 61 = -61
-1 + 61 = 60

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

x² + 60x - 61 = 0

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

(x - 1 ) (x + 61)

To summarize, since -1 and 61 multiply to -61 and add up 60, you know that the following is true:

x² + 60x - 61 = (x - 1 ) (x + 61)

Multiply To One Number and Add Up To Another
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