Quadratic Equations

An equation of the form ax²

An equation of the form ax² + bx + c = 0, where a ≠ 0, and a, b, c are real numbers. Here 'a' is the coefficient of x², 'b' is the coefficient of x, a

A number x is called

A number x is called a root or solution of ax² + bx + c = 0 if substituting this value makes the equation true (equals zero). A quadratic equation can

This method involves expressing the quadratic

This method involves expressing the quadratic polynomial as a product of two linear factors using the zero product rule: if ab = 0, then either a = 0

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 equation

The discriminant D = b²

The discriminant D = b² - 4ac determines the nature of roots: If D > 0: two distinct real roots, If D = 0: two equal real roots, If D < 0: no real roo