What two numbers multiply to 675 and add up to 60?

Here we answer the question: "What two numbers multiply to 675 and add up to 60?"

The answer to your question is:

15 and 45

Below we illustrate and prove that 15 and 45 multiply to 675 and add up to 60:

15 × 45 = 675
15 + 45 = 60

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

x² + 60x + 675 = 0

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

(x + 15 ) (x + 45)

To summarize, since 15 and 45 multiply to 675 and add up 60, you know that the following is true:

x² + 60x + 675 = (x + 15 ) (x + 45)

Multiply To One Number and Add Up To Another
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