Nature Of The Roots Of A Quadratic Equation The nature of the roots depends on the value of b2 – 4ac. bx2 – 4ac is called the discriminant of the quadratic equation ax2 + bx + c = 0 and is generally, denoted by D. ∴ D = b2 – 4ac If D > 0, i..e., b2 – 4ac > 0, i.e., b2 – 4ac is positive; the roots are real and unequal. Also, (i) If b2 – 4ac is a perfect square, the … [Read more...] about Nature Of The Roots Of A Quadratic Equation

# Quadratic Equations

## Quadratic Equations

Quadratic Equations https://www.youtube.com/watch?v=UZTvYYoOrmIAn equation in which the highest power of the unknown quantity is two is called quadratic equation.Types of quadratic equation Quadratic equations are of two types:Purely quadratic Adfected quadraticax2 + c = 0 where a, c ∈ C and b = 0, a ≠ 0 ax2 + bx + c = 0 where a, b, c ∈ C and a ≠ 0, b … [Read more...] about Quadratic Equations

## Solving A Quadratic Equation By Factoring

Solving A Quadratic Equation By FactoringSince, 3x2 – 5x + 2 is a quadratic polynomial; 3x2 – 5x + 2 = 0 is a quadratic equation. Also, 3x2 – 5x + 2 = 3x2 – 3x – 2x + 2 [Factorising] = 3x (x – 1) – 2(x – 1) = (x – 1) (3x – 2) In the same way : 3x2 – 5x + 2 = 0 ⇒ 3x2 – 3x – 2x + 2 = 0 [Factorising L.H.S.] ⇒ (x – 1) (3x – 2) = 0 i.e., x – 1 = 0 or … [Read more...] about Solving A Quadratic Equation By Factoring

## Solving Factorable Quadratic Equations

Solving Factorable Quadratic Equations A quadratic equation is a polynomial equation of degree two. The standard form is ax² + bx + c = 0.There's no magic to solving quadratic equations. Quadratic equations can be solved by factoring and also by graphing. The factoring method of solution: Let's do a quick review of factoring. There are primarily three types of … [Read more...] about Solving Factorable Quadratic Equations

## Solving A Quadratic Equation By Completing The Square

Solving A Quadratic Equation By Completing The Square Every quadratic equation can be converted in the form: (x + a)2 – b2 = 0 or (x – a)2 – b2 = 0. Steps: 1. Bring, if required, all the term of the quadratic equation to the left hand side. 2. Express the terms containing x as x2 + 2xy or x2 – 2xy. 3. Add and subtract y2 to get x2 + 2xy + y2 – y2 or x2 – 2xy + y2 … [Read more...] about Solving A Quadratic Equation By Completing The Square