What two numbers multiply to 705 and add up to -62?

Here we answer the question: "What two numbers multiply to 705 and add up to -62?"

The answer to your question is:

-47 and -15

Below we illustrate and prove that -47 and -15 multiply to 705 and add up to -62:

-47 × -15 = 705
-47 + -15 = -62

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

x² - 62x + 705 = 0

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

(x - 47 ) (x - 15)

To summarize, since -47 and -15 multiply to 705 and add up -62, you know that the following is true:

x² - 62x + 705 = (x - 47 ) (x - 15)

Multiply To One Number and Add Up To Another
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