The product of the roots of the equation 3x² - 7x + n = 12 is 4. Find the value of n.

Question: The product of the roots of the equation 3x² - 7x + n = 12 is 4. Find the value of n.

Solution:
The given equation:
3x² - 7x + (n - 12) = 0
For a quadratic equation ax² + bx + c = 0, the product of roots = c/a
Given that the product of roots = 4
⇒ (n - 12)/3 = 4
⇒ n - 12 = 12
⇒ n = 12 + 12
∴ n = 24