What two numbers multiply to 65 and add up to 66?

Here we answer the question: "What two numbers multiply to 65 and add up to 66?"

The answer to your question is:

1 and 65

Below we illustrate and prove that 1 and 65 multiply to 65 and add up to 66:

1 × 65 = 65
1 + 65 = 66

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

x² + 66x + 65 = 0

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

(x + 1 ) (x + 65)

To summarize, since 1 and 65 multiply to 65 and add up 66, you know that the following is true:

x² + 66x + 65 = (x + 1 ) (x + 65)

Multiply To One Number and Add Up To Another
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