Multiple choice

$\displaystyle \frac { 6 }{ 2y } =\frac { y }{ 12 } $ The above equation has the following values of $y$ as its roots:

  1. ${-6}$
  2. ${-6, 6}$
  3. ${6}$
  4. ${6, 36}$
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B Correct answer
Explanation

6 / (2y) = y / 12. Cross-multiply: 2y^2 = 72. y^2 = 36. y = 6 or -6.

AI explanation

By cross-multiplying the given equation, we get 6 multiplied by 12 equals 2y multiplied by y, which simplifies to 72 equals 2y squared. Dividing both sides by 2 gives y squared equals 36, and taking the square root of both sides yields y equals positive 6 or negative 6. Thus, the roots of the equation are negative 6 and 6.