What two numbers multiply to 969 and add up to 74?

Here we answer the question: "What two numbers multiply to 969 and add up to 74?"

The answer to your question is:

17 and 57

Below we illustrate and prove that 17 and 57 multiply to 969 and add up to 74:

17 × 57 = 969
17 + 57 = 74

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

x² + 74x + 969 = 0

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

(x + 17 ) (x + 57)

To summarize, since 17 and 57 multiply to 969 and add up 74, you know that the following is true:

x² + 74x + 969 = (x + 17 ) (x + 57)

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.