What two numbers multiply to 196 and add up to 35?

Here we answer the question: "What two numbers multiply to 196 and add up to 35?"

The answer to your question is:

7 and 28

Below we illustrate and prove that 7 and 28 multiply to 196 and add up to 35:

7 × 28 = 196
7 + 28 = 35

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

x² + 35x + 196 = 0

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

(x + 7 ) (x + 28)

To summarize, since 7 and 28 multiply to 196 and add up 35, you know that the following is true:

x² + 35x + 196 = (x + 7 ) (x + 28)

Multiply To One Number and Add Up To Another
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