What two numbers multiply to -206 and add up to 205?

Here we answer the question: "What two numbers multiply to -206 and add up to 205?"

The answer to your question is:

-1 and 206

Below we illustrate and prove that -1 and 206 multiply to -206 and add up to 205:

-1 × 206 = -206
-1 + 206 = 205

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

x² + 205x - 206 = 0

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

(x - 1 ) (x + 206)

To summarize, since -1 and 206 multiply to -206 and add up 205, you know that the following is true:

x² + 205x - 206 = (x - 1 ) (x + 206)

Multiply To One Number and Add Up To Another
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