What two numbers multiply to 35 and add up to 12?

Here we answer the question: "What two numbers multiply to 35 and add up to 12?"

The answer to your question is:

5 and 7

Below we illustrate and prove that 5 and 7 multiply to 35 and add up to 12:

5 × 7 = 35
5 + 7 = 12

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

x² + 12x + 35 = 0

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

(x + 5 ) (x + 7)

To summarize, since 5 and 7 multiply to 35 and add up 12, you know that the following is true:

x² + 12x + 35 = (x + 5 ) (x + 7)

Multiply To One Number and Add Up To Another
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