What two numbers multiply to 462 and add up to 73?

Here we answer the question: "What two numbers multiply to 462 and add up to 73?"

The answer to your question is:

7 and 66

Below we illustrate and prove that 7 and 66 multiply to 462 and add up to 73:

7 × 66 = 462
7 + 66 = 73

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

x² + 73x + 462 = 0

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

(x + 7 ) (x + 66)

To summarize, since 7 and 66 multiply to 462 and add up 73, you know that the following is true:

x² + 73x + 462 = (x + 7 ) (x + 66)

Multiply To One Number and Add Up To Another
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