What two numbers multiply to 300 and add up to 65?

Here we answer the question: "What two numbers multiply to 300 and add up to 65?"

The answer to your question is:

5 and 60

Below we illustrate and prove that 5 and 60 multiply to 300 and add up to 65:

5 × 60 = 300
5 + 60 = 65

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

x² + 65x + 300 = 0

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

(x + 5 ) (x + 60)

To summarize, since 5 and 60 multiply to 300 and add up 65, you know that the following is true:

x² + 65x + 300 = (x + 5 ) (x + 60)

Multiply To One Number and Add Up To Another
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