What two numbers multiply to 315 and add up to 52?

Here we answer the question: "What two numbers multiply to 315 and add up to 52?"

The answer to your question is:

7 and 45

Below we illustrate and prove that 7 and 45 multiply to 315 and add up to 52:

7 × 45 = 315
7 + 45 = 52

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

x² + 52x + 315 = 0

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

(x + 7 ) (x + 45)

To summarize, since 7 and 45 multiply to 315 and add up 52, you know that the following is true:

x² + 52x + 315 = (x + 7 ) (x + 45)

Multiply To One Number and Add Up To Another
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