What two numbers multiply to 610 and add up to 71?

Here we answer the question: "What two numbers multiply to 610 and add up to 71?"

The answer to your question is:

10 and 61

Below we illustrate and prove that 10 and 61 multiply to 610 and add up to 71:

10 × 61 = 610
10 + 61 = 71

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

x² + 71x + 610 = 0

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

(x + 10 ) (x + 61)

To summarize, since 10 and 61 multiply to 610 and add up 71, you know that the following is true:

x² + 71x + 610 = (x + 10 ) (x + 61)

Multiply To One Number and Add Up To Another
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