What two numbers multiply to 824 and add up to 414?

Here we answer the question: "What two numbers multiply to 824 and add up to 414?"

The answer to your question is:

2 and 412

Below we illustrate and prove that 2 and 412 multiply to 824 and add up to 414:

2 × 412 = 824
2 + 412 = 414

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

x² + 414x + 824 = 0

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

(x + 2 ) (x + 412)

To summarize, since 2 and 412 multiply to 824 and add up 414, you know that the following is true:

x² + 414x + 824 = (x + 2 ) (x + 412)

Multiply To One Number and Add Up To Another
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