What two numbers multiply to 305 and add up to -66?

Here we answer the question: "What two numbers multiply to 305 and add up to -66?"

The answer to your question is:

-61 and -5

Below we illustrate and prove that -61 and -5 multiply to 305 and add up to -66:

-61 × -5 = 305
-61 + -5 = -66

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

x² - 66x + 305 = 0

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

(x - 61 ) (x - 5)

To summarize, since -61 and -5 multiply to 305 and add up -66, you know that the following is true:

x² - 66x + 305 = (x - 61 ) (x - 5)

Multiply To One Number and Add Up To Another
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