What two numbers multiply to 10 and add up to -7?

Here we answer the question: "What two numbers multiply to 10 and add up to -7?"

The answer to your question is:

-5 and -2

Below we illustrate and prove that -5 and -2 multiply to 10 and add up to -7:

-5 × -2 = 10
-5 + -2 = -7

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

x² - 7x + 10 = 0

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

(x - 5 ) (x - 2)

To summarize, since -5 and -2 multiply to 10 and add up -7, you know that the following is true:

x² - 7x + 10 = (x - 5 ) (x - 2)

Multiply To One Number and Add Up To Another
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