What two numbers multiply to 10 and add up to 7?

Here we answer the question: "What two numbers multiply to 10 and add up to 7?"

The answer to your question is:

2 and 5

Below we illustrate and prove that 2 and 5 multiply to 10 and add up to 7:

2 × 5 = 10
2 + 5 = 7

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

x² + 7x + 10 = 0

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

(x + 2 ) (x + 5)

To summarize, since 2 and 5 multiply to 10 and add up 7, you know that the following is true:

x² + 7x + 10 = (x + 2 ) (x + 5)

Multiply To One Number and Add Up To Another
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