What two numbers multiply to 106 and add up to 55?

Here we answer the question: "What two numbers multiply to 106 and add up to 55?"

The answer to your question is:

2 and 53

Below we illustrate and prove that 2 and 53 multiply to 106 and add up to 55:

2 × 53 = 106
2 + 53 = 55

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

x² + 55x + 106 = 0

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

(x + 2 ) (x + 53)

To summarize, since 2 and 53 multiply to 106 and add up 55, you know that the following is true:

x² + 55x + 106 = (x + 2 ) (x + 53)

Multiply To One Number and Add Up To Another
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