NCERT · Class 10 · Mathematics · Quadratic EquationsState the condition for a quadratic equation to have real and distinct roots.

A quadratic equation of the standard form ax² + bx + c = 0 is guaranteed to have two distinct and real roots if and only if the value of its discriminant, which is calculated as b² - 4ac, is strictly greater than zero. Mathematically, this condition is written as D > 0. When this condition is satisfied, the square root present in the quadratic formula yields a positive real number, resulting in two completely separate numerical values for the variable x.