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I choose a random integer $n$ between $1$ and $10$ inclusive. What is the probability that for the $n$ I chose, there exist no real solutions to the equation $x(x+5) = -n$? Express your answer as a common fraction

 Jul 11, 2020
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There are 4 integers for which there is no real solution. They are: 7, 8, 9, 10

 

Therefore, the probability is =4 / 10 = 2 /5

 Jul 11, 2020

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