Multiple choice general knowledge math & puzzles

What is the sum of the reciprocals of the solutions to the equation x2 - (3/5)x = -11/3

  1. 3/5

  2. 5/3

  3. 9/55

  4. -11/3

  5. 94/65
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C Correct answer
Explanation

For a quadratic equation $ax^2 + bx + c = 0$, the sum of the reciprocals of the roots is $1/x_1 + 1/x_2 = (x_1 + x_2)/(x_1x_2) = (-b/a) / (c/a) = -b/c$. Here, $b = -3/5$ and $c = 11/3$. Thus, $-(-3/5) / (11/3) = (3/5) * (3/11) = 9/55$.

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