What two numbers multiply to -426 and add up to 65?

Here we answer the question: "What two numbers multiply to -426 and add up to 65?"

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 65:

-6 × 71 = -426
-6 + 71 = 65

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

x² + 65x - 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 65, you know that the following is true:

x² + 65x - 426 = (x - 6 ) (x + 71)

Multiply To One Number and Add Up To Another
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