My session is for all class 10th students. I teach with clearing concepts by explaining the base of the the chapter and I focus more on important topics and questions. This session is going to be on quadratic equations which students find tricky to understand and solve most of the time. Join me in this session.

In algebra, a quadratic equation (from Latinquadratus 'square') is any equation that can be rearranged in standard form as

$ax^{2}+bx+c=0$

where x represents an unknown, and a, b, and crepresent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no $ax^2$ term. The numbers a, b, and care the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.^[1]

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complexsolutions. A quadratic equation always has two roots, if complex roots are included; and a double root is counted for two. A quadratic equation can be factored into an equivalent equation

$ax^{2}+bx+c=a(x-r)(x-s)=0$

where r and s are the solutions for x. Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC.