Скачать или смотреть Quadratic Equations IIT JEE in 1 Shot By Shivam Goswami | JEE Main Maths

Hello everyone and welcome to Dream IIT 4 u online YouTube channel. Here is the video tutorial of one the important topic of Mathematics i.e Quadratic Equations.

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c where a, b, c, ∈ R and a ≠ 0.
It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α,β).

The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.
A quadratic polynomial, when equated to zero, becomes a quadratic equation. The values of x satisfying the equation are called the roots of the quadratic equation.

General from: ax2 + bx + c = 0

Examples: 3x2 + x + 5 = 0, -x2 + 7x + 5 = 0, x2 + x = 0.

Roots of Quadratic Equation
The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0.

The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.

One of the roots of the quadratic equation is zero and the other is -b/a if c = 0
Both the roots are zero if b = c = 0
The roots are reciprocal to each other if a = c

What is Discriminant?
The term (b2 – 4ac) in the quadratic formula is known as the discriminant of a quadratic equation. The discriminant of a quadratic equation reveals the nature of roots.
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