What two numbers multiply to 426 and add up to 77?

Here we answer the question: "What two numbers multiply to 426 and add up to 77?"

The answer to your question is:

6 and 71

Below we illustrate and prove that 6 and 71 multiply to 426 and add up to 77:

6 × 71 = 426
6 + 71 = 77

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

x² + 77x + 426 = 0

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

(x + 6 ) (x + 71)

To summarize, since 6 and 71 multiply to 426 and add up 77, you know that the following is true:

x² + 77x + 426 = (x + 6 ) (x + 71)

Multiply To One Number and Add Up To Another
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