Mathematics

Product of Roots of Quadratic

Find the product of roots of a quadratic equation.

αβ = c/a

Formula Explanation

For ax² + bx + c = 0, the product of roots is c divided by a.

Variables Explained

α, β = roots; a, c = coefficients.

Solved Example

For x² - 5x + 6 = 0, find product of roots.
Product = 6/1 = 6.

Exam Tip

Remember sum = -b/a and product = c/a.