What are the real roots of the quadratic equation $3 x^{2} - 10 x + 3 = 0$ ?

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What is the value of $lo g_{3} (81) - lo g_{2} (16)$ ?
In an arithmetic progression, the first term is $a_{1} = 4$ and the common difference is $d = 3$ . What is the sum of the first $12$ terms?
In a geometric progression with positive terms, $b_{1} = 2$ and $b_{4} = 54$ . What is the common ratio $q$ ?
If $sin α = \frac{4}{5}$ and $α \in (0, \frac{π}{2})$ , what is the value of $cos (2 α)$ ?
In triangle $A B C$ , side $a = 6$ , side $b = 10$ , and the angle between them is $γ = 3 0^{\circ}$ . What is the area of the triangle?
In triangle $A B C$ , side $a = 5$ , side $b = 8$ , and side $c = 7$ . What is the measure of angle $γ$ opposite to side $c$ ?