What two numbers multiply to 475 and add up to 100?

Here we answer the question: "What two numbers multiply to 475 and add up to 100?"

The answer to your question is:

5 and 95

Below we illustrate and prove that 5 and 95 multiply to 475 and add up to 100:

5 × 95 = 475
5 + 95 = 100

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

x² + 100x + 475 = 0

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

(x + 5 ) (x + 95)

To summarize, since 5 and 95 multiply to 475 and add up 100, you know that the following is true:

x² + 100x + 475 = (x + 5 ) (x + 95)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.