Here we answer the question: "What two numbers multiply to -52 and add up to -51?"
The answer to your question is:
-52 and 1
Below we illustrate and prove that -52 and 1 multiply to -52 and add up to -51:
-52 × 1 = -52
-52 + 1 = -51
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 - 51x - 52 = 0
If so, the solution to factor the quadratic equation above is:
(x - 52 ) (x + 1)
To summarize, since -52 and 1 multiply to -52 and add up -51, you know that the following is true:
x2 - 51x - 52 = (x - 52 ) (x + 1)
Multiply To One Number and Add Up To Another
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