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:

5 and 61

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

5 × 61 = 305
5 + 61 = 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 + 5 ) (x + 61)

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

x² + 66x + 305 = (x + 5 ) (x + 61)

Multiply To One Number and Add Up To Another
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