What two numbers multiply to -402 and add up to 61?

Here we answer the question: "What two numbers multiply to -402 and add up to 61?"

The answer to your question is:

-6 and 67

Below we illustrate and prove that -6 and 67 multiply to -402 and add up to 61:

-6 × 67 = -402
-6 + 67 = 61

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

x² + 61x - 402 = 0

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

(x - 6 ) (x + 67)

To summarize, since -6 and 67 multiply to -402 and add up 61, you know that the following is true:

x² + 61x - 402 = (x - 6 ) (x + 67)

Multiply To One Number and Add Up To Another
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