What two numbers multiply to -456 and add up to 110?

Here we answer the question: "What two numbers multiply to -456 and add up to 110?"

The answer to your question is:

-4 and 114

Below we illustrate and prove that -4 and 114 multiply to -456 and add up to 110:

-4 × 114 = -456
-4 + 114 = 110

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

x² + 110x - 456 = 0

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

(x - 4 ) (x + 114)

To summarize, since -4 and 114 multiply to -456 and add up 110, you know that the following is true:

x² + 110x - 456 = (x - 4 ) (x + 114)

Multiply To One Number and Add Up To Another
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