What two numbers multiply to 583 and add up to -64?

Here we answer the question: "What two numbers multiply to 583 and add up to -64?"

The answer to your question is:

-53 and -11

Below we illustrate and prove that -53 and -11 multiply to 583 and add up to -64:

-53 × -11 = 583
-53 + -11 = -64

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

x² - 64x + 583 = 0

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

(x - 53 ) (x - 11)

To summarize, since -53 and -11 multiply to 583 and add up -64, you know that the following is true:

x² - 64x + 583 = (x - 53 ) (x - 11)

Multiply To One Number and Add Up To Another
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