If $α$ and $β$ are the roots of $x^{2} - 5 x + 6 = 0$ , what is $α^{2} + β^{2}$ ?

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Find the $x$ -coordinate of the local minimum of $f (x) = x^{3} - 3 x$ .
What are the coordinates of the vertex of the parabola $y = 3 (x + 5)^{2} + 5$ ?
The function $f$ is defined by $f (x) = 3 x - 3$ . Find $f^{- 1} (0)$ .
A variable is normally distributed with mean 50 and standard deviation 15. Approximately what percentage of values lie between 35 and 65?
A set of scores has a mean of 70 and a standard deviation of 5. What is the $z$ -score of a score of 60?
What is the sum of the first 5 terms of the geometric sequence with first term 2 and common ratio 2?