MP Board · Class 10 · Mathematics · Quadratic EquationsState the condition for a quadratic equation to have no real roots.

A quadratic equation of the standard form ax² + bx + c = 0 will possess absolutely no real roots if the value of its calculated discriminant is strictly less than zero. In mathematical terms, this condition is concisely written as D < 0, which means that b² - 4ac < 0. When this occurs, the square root part of the quadratic formula contains a negative number, which cannot yield a real number value within the real number system, thus leaving the equation with no real solutions.