What two numbers multiply to 218 and add up to 111?

Here we answer the question: "What two numbers multiply to 218 and add up to 111?"

The answer to your question is:

2 and 109

Below we illustrate and prove that 2 and 109 multiply to 218 and add up to 111:

2 × 109 = 218
2 + 109 = 111

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

x² + 111x + 218 = 0

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

(x + 2 ) (x + 109)

To summarize, since 2 and 109 multiply to 218 and add up 111, you know that the following is true:

x² + 111x + 218 = (x + 2 ) (x + 109)

Multiply To One Number and Add Up To Another
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