What two numbers multiply to 102 and add up to -53?

Here we answer the question: "What two numbers multiply to 102 and add up to -53?"

The answer to your question is:

-51 and -2

Below we illustrate and prove that -51 and -2 multiply to 102 and add up to -53:

-51 × -2 = 102
-51 + -2 = -53

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

x² - 53x + 102 = 0

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

(x - 51 ) (x - 2)

To summarize, since -51 and -2 multiply to 102 and add up -53, you know that the following is true:

x² - 53x + 102 = (x - 51 ) (x - 2)

Multiply To One Number and Add Up To Another
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