A

9000375405

Level: 
A
Find a set of the values of the real parameter \(a\) which ensure that the following equation has a unique solution. \[ a^{2}x + 6x = a + 1 - 5ax \]
\(\mathbb{R}\setminus \left \{-3;-2\right \}\)
\(\mathbb{R}\setminus \left \{2;3\right \}\)
\(\mathbb{R}\setminus \left \{-1;2;3\right \}\)
\(\mathbb{R}\setminus \left \{-3;-2;1\right \}\)

9000154808

Level: 
A
Little John plays a dice game against Robin Hood. To win, he needs to get the sum of \(8\) by rolling two dice. What is the probability that he wins over Robin right on the first roll? Round your result to three decimal places.
\(0{.}139\)
\(0{.}194\)
\(0{.}806\)
\(0{.}778\)