What two numbers multiply to 490 and add up to 77?

Here we answer the question: "What two numbers multiply to 490 and add up to 77?"

The answer to your question is:

7 and 70

Below we illustrate and prove that 7 and 70 multiply to 490 and add up to 77:

7 × 70 = 490
7 + 70 = 77

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

x² + 77x + 490 = 0

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

(x + 7 ) (x + 70)

To summarize, since 7 and 70 multiply to 490 and add up 77, you know that the following is true:

x² + 77x + 490 = (x + 7 ) (x + 70)

Multiply To One Number and Add Up To Another
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