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:

15 and 47

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

15 × 47 = 705
15 + 47 = 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 + 15 ) (x + 47)

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

x² + 62x + 705 = (x + 15 ) (x + 47)

Multiply To One Number and Add Up To Another
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