Here we answer the question: "What two numbers multiply to 564 and add up to 565?"
The answer to your question is:
1 and 564
Below we illustrate and prove that 1 and 564 multiply to 564 and add up to 565:
1 × 564 = 564
1 + 564 = 565
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 565x + 564 = 0
If so, the solution to factor the quadratic equation above is:
(x + 1 ) (x + 564)
To summarize, since 1 and 564 multiply to 564 and add up 565, you know that the following is true:
x2 + 565x + 564 = (x + 1 ) (x + 564)
Multiply To One Number and Add Up To Another
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