What two numbers multiply to 404 and add up to 105?

Here we answer the question: "What two numbers multiply to 404 and add up to 105?"

The answer to your question is:

4 and 101

Below we illustrate and prove that 4 and 101 multiply to 404 and add up to 105:

4 × 101 = 404
4 + 101 = 105

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

x² + 105x + 404 = 0

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

(x + 4 ) (x + 101)

To summarize, since 4 and 101 multiply to 404 and add up 105, you know that the following is true:

x² + 105x + 404 = (x + 4 ) (x + 101)

Multiply To One Number and Add Up To Another
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