# NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations: Quadratic polynomial, when equated to zero, results in quadratic equations, which is discussed in Maths Chapter 4 Quadratic Equations.

Polynomial of type "ax2 +bx+c", when equated to zero, gives a Quadratic equation. It is used to solve real-life situations. The standard form of a quadratic equation is ax2+bx+c=0, with "a" being not equal to zero. Often, before checking the quadratic equations, it is required to simplify them.

Generally, a real number k is called the root of the quadratic equation if it satisfies ak2+bk+c=0. The solution to this quadratic equation can be obtained by using factorising it into two linear factors. Split the middle term and rewrite it by taking a common variable resulting in two factors. Equate the factors to zero and find the roots or solution of the quadratic equations.

The zeros of the quadratic equation are the same as the roots of the quadratic equations. Completing the square method can also be used to solve the Quadratic equations. When the result is negative, there is no real value of x which can satisfy the equation and hence the given equation has no real roots.

The NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations further continues with the Quadratic formula, i.e. (-b+√b2-4ac)/2a and (-b-√b2-4ac)/2a, which is the easiest way to find the roots of quadratic equations with a condition of b2-4ac > 0 or = 0. The nature of these roots can be decided using the discriminant d = b2-4ac. When d is greater than 0, it has two distinct real roots. When equal to 0, two equal real roots and when less than zero, no real roots.