What two numbers multiply to 72 and add up to 73?

Here we answer the question: "What two numbers multiply to 72 and add up to 73?"

The answer to your question is:

1 and 72

Below we illustrate and prove that 1 and 72 multiply to 72 and add up to 73:

1 × 72 = 72
1 + 72 = 73

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

x² + 73x + 72 = 0

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

(x + 1 ) (x + 72)

To summarize, since 1 and 72 multiply to 72 and add up 73, you know that the following is true:

x² + 73x + 72 = (x + 1 ) (x + 72)

Multiply To One Number and Add Up To Another
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