What two numbers multiply to -62 and add up to 61?

Here we answer the question: "What two numbers multiply to -62 and add up to 61?"

The answer to your question is:

-1 and 62

Below we illustrate and prove that -1 and 62 multiply to -62 and add up to 61:

-1 × 62 = -62
-1 + 62 = 61

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

x² + 61x - 62 = 0

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

(x - 1 ) (x + 62)

To summarize, since -1 and 62 multiply to -62 and add up 61, you know that the following is true:

x² + 61x - 62 = (x - 1 ) (x + 62)

Multiply To One Number and Add Up To Another
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