Here we answer the question: "What two numbers multiply to -24 and add up to -5?"
The answer to your question is:
-8 and 3
Below we illustrate and prove that -8 and 3 multiply to -24 and add up to -5:
-8 × 3 = -24
-8 + 3 = -5
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 - 5x - 24 = 0
If so, the solution to factor the quadratic equation above is:
(x - 8 ) (x + 3)
To summarize, since -8 and 3 multiply to -24 and add up -5, you know that the following is true:
x2 - 5x - 24 = (x - 8 ) (x + 3)
Multiply To One Number and Add Up To Another
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