What two numbers multiply to 782 and add up to 57?

Here we answer the question: "What two numbers multiply to 782 and add up to 57?"

The answer to your question is:

23 and 34

Below we illustrate and prove that 23 and 34 multiply to 782 and add up to 57:

23 × 34 = 782
23 + 34 = 57

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

x² + 57x + 782 = 0

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

(x + 23 ) (x + 34)

To summarize, since 23 and 34 multiply to 782 and add up 57, you know that the following is true:

x² + 57x + 782 = (x + 23 ) (x + 34)

Multiply To One Number and Add Up To Another
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