The product of the roots of the equation 2x² - 5x + m = 10 is - 3. Find the value of m.

Question: The product of the roots of the equation 2x² - 5x + m = 10 is - 3. Find the value of m.

Solution:
Given,
2x² - 5x + m = 10
⇒ 2x² - 5x + (m - 10) = 0

We know that,
if ax² + bx + c = 0 is a quadratic equation,
then the product of their roots = c/a

Given the product of the roots = - 3
∴ (m - 10)/2 = - 3
⇒ m - 10 = - 6
⇒ m = - 6 + 10
∴ m = 4