What two numbers multiply to 50 and add up to 51?

Here we answer the question: "What two numbers multiply to 50 and add up to 51?"

The answer to your question is:

1 and 50

Below we illustrate and prove that 1 and 50 multiply to 50 and add up to 51:

1 × 50 = 50
1 + 50 = 51

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

x² + 51x + 50 = 0

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

(x + 1 ) (x + 50)

To summarize, since 1 and 50 multiply to 50 and add up 51, you know that the following is true:

x² + 51x + 50 = (x + 1 ) (x + 50)

Multiply To One Number and Add Up To Another
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