What two numbers multiply to 75 and add up to 28?

Here we answer the question: "What two numbers multiply to 75 and add up to 28?"

The answer to your question is:

3 and 25

Below we illustrate and prove that 3 and 25 multiply to 75 and add up to 28:

3 × 25 = 75
3 + 25 = 28

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

x² + 28x + 75 = 0

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

(x + 3 ) (x + 25)

To summarize, since 3 and 25 multiply to 75 and add up 28, you know that the following is true:

x² + 28x + 75 = (x + 3 ) (x + 25)

Multiply To One Number and Add Up To Another
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