Quadratic Equations

A quadratic equation in variable x

A quadratic equation in variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0. The coefficient a must be no

A real number α is called

A real number α is called a root (or solution) of the quadratic equation ax² + bx + c = 0 if substituting x = α makes the equation true (aα² + bα + c

This method involves expressing the quadratic

This method involves expressing the quadratic equation ax² + bx + c = 0 as a product of two linear factors: (mx + p)(nx + q) = 0. By splitting the mid

For any quadratic equation ax² +

For any quadratic equation ax² + bx + c = 0, the roots are given by: x = (-b ± √(b² - 4ac)) / 2a. This universal formula works for all quadratic equat

The discriminant (Δ) of ax² +

The discriminant (Δ) of ax² + bx + c = 0 is the expression b² - 4ac. This value determines the nature of the roots without actually solving the equati