What two numbers multiply to 66 and add up to 67?

Here we answer the question: "What two numbers multiply to 66 and add up to 67?"

The answer to your question is:

1 and 66

Below we illustrate and prove that 1 and 66 multiply to 66 and add up to 67:

1 × 66 = 66
1 + 66 = 67

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

x² + 67x + 66 = 0

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

(x + 1 ) (x + 66)

To summarize, since 1 and 66 multiply to 66 and add up 67, you know that the following is true:

x² + 67x + 66 = (x + 1 ) (x + 66)

Multiply To One Number and Add Up To Another
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