What two numbers multiply to -310 and add up to 57?

Here we answer the question: "What two numbers multiply to -310 and add up to 57?"

The answer to your question is:

-5 and 62

Below we illustrate and prove that -5 and 62 multiply to -310 and add up to 57:

-5 × 62 = -310
-5 + 62 = 57

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

x² + 57x - 310 = 0

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

(x - 5 ) (x + 62)

To summarize, since -5 and 62 multiply to -310 and add up 57, you know that the following is true:

x² + 57x - 310 = (x - 5 ) (x + 62)

Multiply To One Number and Add Up To Another
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