What two numbers multiply to 96 and add up to 97?

Here we answer the question: "What two numbers multiply to 96 and add up to 97?"

The answer to your question is:

1 and 96

Below we illustrate and prove that 1 and 96 multiply to 96 and add up to 97:

1 × 96 = 96
1 + 96 = 97

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

x² + 97x + 96 = 0

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

(x + 1 ) (x + 96)

To summarize, since 1 and 96 multiply to 96 and add up 97, you know that the following is true:

x² + 97x + 96 = (x + 1 ) (x + 96)

Multiply To One Number and Add Up To Another
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