What two numbers multiply to -234 and add up to 75?

Here we answer the question: "What two numbers multiply to -234 and add up to 75?"

The answer to your question is:

-3 and 78

Below we illustrate and prove that -3 and 78 multiply to -234 and add up to 75:

-3 × 78 = -234
-3 + 78 = 75

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

x² + 75x - 234 = 0

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

(x - 3 ) (x + 78)

To summarize, since -3 and 78 multiply to -234 and add up 75, you know that the following is true:

x² + 75x - 234 = (x - 3 ) (x + 78)

Multiply To One Number and Add Up To Another
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