What two numbers multiply to 462 and add up to 53?

Here we answer the question: "What two numbers multiply to 462 and add up to 53?"

The answer to your question is:

11 and 42

Below we illustrate and prove that 11 and 42 multiply to 462 and add up to 53:

11 × 42 = 462
11 + 42 = 53

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

x² + 53x + 462 = 0

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

(x + 11 ) (x + 42)

To summarize, since 11 and 42 multiply to 462 and add up 53, you know that the following is true:

x² + 53x + 462 = (x + 11 ) (x + 42)

Multiply To One Number and Add Up To Another
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