Here we answer the question: "What two numbers multiply to 1000 and add up to 110?"
The answer to your question is:
10 and 100
Below we illustrate and prove that 10 and 100 multiply to 1000 and add up to 110:
10 × 100 = 1000
10 + 100 = 110
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 110x + 1000 = 0
If so, the solution to factor the quadratic equation above is:
(x + 10 ) (x + 100)
To summarize, since 10 and 100 multiply to 1000 and add up 110, you know that the following is true:
x2 + 110x + 1000 = (x + 10 ) (x + 100)
Multiply To One Number and Add Up To Another
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