What two numbers multiply to 900 and add up to 75?

Here we answer the question: "What two numbers multiply to 900 and add up to 75?"

The answer to your question is:

15 and 60

Below we illustrate and prove that 15 and 60 multiply to 900 and add up to 75:

15 × 60 = 900
15 + 60 = 75

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

x² + 75x + 900 = 0

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

(x + 15 ) (x + 60)

To summarize, since 15 and 60 multiply to 900 and add up 75, you know that the following is true:

x² + 75x + 900 = (x + 15 ) (x + 60)

Multiply To One Number and Add Up To Another
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