What two numbers multiply to -114 and add up to 35?

Here we answer the question: "What two numbers multiply to -114 and add up to 35?"

The answer to your question is:

-3 and 38

Below we illustrate and prove that -3 and 38 multiply to -114 and add up to 35:

-3 × 38 = -114
-3 + 38 = 35

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

x² + 35x - 114 = 0

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

(x - 3 ) (x + 38)

To summarize, since -3 and 38 multiply to -114 and add up 35, you know that the following is true:

x² + 35x - 114 = (x - 3 ) (x + 38)

Multiply To One Number and Add Up To Another
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