What two numbers multiply to 420 and add up to 76?

Here we answer the question: "What two numbers multiply to 420 and add up to 76?"

The answer to your question is:

6 and 70

Below we illustrate and prove that 6 and 70 multiply to 420 and add up to 76:

6 × 70 = 420
6 + 70 = 76

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

x² + 76x + 420 = 0

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

(x + 6 ) (x + 70)

To summarize, since 6 and 70 multiply to 420 and add up 76, you know that the following is true:

x² + 76x + 420 = (x + 6 ) (x + 70)

Multiply To One Number and Add Up To Another
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