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:

-52 and -13

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

-52 × -13 = 676
-52 + -13 = -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 - 52 ) (x - 13)

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

x² - 65x + 676 = (x - 52 ) (x - 13)

Multiply To One Number and Add Up To Another
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