Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

What is the general form of a quadratic equation

The general form of a quadratic equation is given by:

ax²+bx+c=0,

where a, b, and c are coefficients and x is the unknown variable. Also, the value of ‘a’ cannot be zero.

For example, 2x2 + 3x + 1 = 0 is a quadratic equation.

The solution of the quadratic equation gives two roots or two solutions since the highest degree is 2 (i.e. x2).

The roots of a quadratic equation can be determined by the formula:

x = (-b±√(b²-4ac))/(2a)

With the help of this formula, we can easily solve any quadratic equation and find the roots or value of x.

The roots are also called zeros of the quadratic equation because if we put the value of x in the left-hand side of the general quadratic equation, then we get the value equal to the right hand side, i.e. zero.