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MATH / 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…

Problem

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problem

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.

Plain-text mathematical notation (without MathML)

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.

Original LaTeX notation

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.

level

Level 5

type

Algebra

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task_id: eaa5776b-e02c-5900-86f4-4837d6586e09
task_key: algebra--test--eaa5776b-e02c-5900-86f4-4837d6586e09
task_revision_id: 2
config / split: algebra / test

Official source

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