What two numbers multiply to 312 and add up to -58?

Here we answer the question: "What two numbers multiply to 312 and add up to -58?"

The answer to your question is:

-52 and -6

Below we illustrate and prove that -52 and -6 multiply to 312 and add up to -58:

-52 × -6 = 312
-52 + -6 = -58

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

x² - 58x + 312 = 0

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

(x - 52 ) (x - 6)

To summarize, since -52 and -6 multiply to 312 and add up -58, you know that the following is true:

x² - 58x + 312 = (x - 52 ) (x - 6)

Multiply To One Number and Add Up To Another
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