What two numbers multiply to 588 and add up to 61?

Here we answer the question: "What two numbers multiply to 588 and add up to 61?"

The answer to your question is:

12 and 49

Below we illustrate and prove that 12 and 49 multiply to 588 and add up to 61:

12 × 49 = 588
12 + 49 = 61

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

x² + 61x + 588 = 0

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

(x + 12 ) (x + 49)

To summarize, since 12 and 49 multiply to 588 and add up 61, you know that the following is true:

x² + 61x + 588 = (x + 12 ) (x + 49)

Multiply To One Number and Add Up To Another
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