What two numbers multiply to 704 and add up to 75?

Here we answer the question: "What two numbers multiply to 704 and add up to 75?"

The answer to your question is:

11 and 64

Below we illustrate and prove that 11 and 64 multiply to 704 and add up to 75:

11 × 64 = 704
11 + 64 = 75

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

x² + 75x + 704 = 0

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

(x + 11 ) (x + 64)

To summarize, since 11 and 64 multiply to 704 and add up 75, you know that the following is true:

x² + 75x + 704 = (x + 11 ) (x + 64)

Multiply To One Number and Add Up To Another
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