What two numbers multiply to 114 and add up to 59?

Here we answer the question: "What two numbers multiply to 114 and add up to 59?"

The answer to your question is:

2 and 57

Below we illustrate and prove that 2 and 57 multiply to 114 and add up to 59:

2 × 57 = 114
2 + 57 = 59

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

x² + 59x + 114 = 0

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

(x + 2 ) (x + 57)

To summarize, since 2 and 57 multiply to 114 and add up 59, you know that the following is true:

x² + 59x + 114 = (x + 2 ) (x + 57)

Multiply To One Number and Add Up To Another
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