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

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

The answer to your question is:

-61 and -1

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

-61 × -1 = 61
-61 + -1 = -62

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

x² - 62x + 61 = 0

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

(x - 61 ) (x - 1)

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

x² - 62x + 61 = (x - 61 ) (x - 1)

Multiply To One Number and Add Up To Another
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