What two numbers multiply to 106 and add up to 107?

Here we answer the question: "What two numbers multiply to 106 and add up to 107?"

The answer to your question is:

1 and 106

Below we illustrate and prove that 1 and 106 multiply to 106 and add up to 107:

1 × 106 = 106
1 + 106 = 107

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

x² + 107x + 106 = 0

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

(x + 1 ) (x + 106)

To summarize, since 1 and 106 multiply to 106 and add up 107, you know that the following is true:

x² + 107x + 106 = (x + 1 ) (x + 106)

Multiply To One Number and Add Up To Another
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