What two numbers multiply to -49 and add up to 0?

Here we answer the question: "What two numbers multiply to -49 and add up to 0?"

The answer to your question is:

-7 and 7

Below we illustrate and prove that -7 and 7 multiply to -49 and add up to 0:

-7 × 7 = -49
-7 + 7 = 0

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

x² + 0x - 49 = 0

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

(x - 7 ) (x + 7)

To summarize, since -7 and 7 multiply to -49 and add up 0, you know that the following is true:

x² + 0x - 49 = (x - 7 ) (x + 7)

Multiply To One Number and Add Up To Another
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