What two numbers multiply to -138 and add up to 67?

Here we answer the question: "What two numbers multiply to -138 and add up to 67?"

The answer to your question is:

-2 and 69

Below we illustrate and prove that -2 and 69 multiply to -138 and add up to 67:

-2 × 69 = -138
-2 + 69 = 67

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

x² + 67x - 138 = 0

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

(x - 2 ) (x + 69)

To summarize, since -2 and 69 multiply to -138 and add up 67, you know that the following is true:

x² + 67x - 138 = (x - 2 ) (x + 69)

Multiply To One Number and Add Up To Another
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