What two numbers multiply to 735 and add up to 112?

Here we answer the question: "What two numbers multiply to 735 and add up to 112?"

The answer to your question is:

7 and 105

Below we illustrate and prove that 7 and 105 multiply to 735 and add up to 112:

7 × 105 = 735
7 + 105 = 112

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

x² + 112x + 735 = 0

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

(x + 7 ) (x + 105)

To summarize, since 7 and 105 multiply to 735 and add up 112, you know that the following is true:

x² + 112x + 735 = (x + 7 ) (x + 105)

Multiply To One Number and Add Up To Another
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