A bag contains 2 gold marbles, 10 silver marbles, and 26 black marbles. You randomly select one marble from the bag. What is the
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Complete the square on the left side:
Then the equation becomes
Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:
Then in increasing order, the solutions are
<em>c</em> = log₃(14 - √186), <em>c</em> = log₃(14 + √186)