What two numbers multiply to 676 and add up to 65?

Here we answer the question: "What two numbers multiply to 676 and add up to 65?"

The answer to your question is:

13 and 52

Below we illustrate and prove that 13 and 52 multiply to 676 and add up to 65:

13 × 52 = 676
13 + 52 = 65

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

x² + 65x + 676 = 0

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

(x + 13 ) (x + 52)

To summarize, since 13 and 52 multiply to 676 and add up 65, you know that the following is true:

x² + 65x + 676 = (x + 13 ) (x + 52)

Multiply To One Number and Add Up To Another
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