# Solving A Quadratic Equation By Factoring

Solving A Quadratic Equation By Factoring Since, 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 – 5…

# Solving Factorable Quadratic Equations

Solving Factorable Quadratic EquationsA 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…

# Quadratic Equations

Quadratic EquationsAn equation in which the highest power of the unknown quantity is two is called quadratic equation. Types of quadratic equationQuadratic equations are of two types:Purely quadraticAdfected quadraticax2 + c = 0 where a, c ∈ C and b = 0…

# Nature Of The Roots Of A Quadratic Equation

Nature Of The Roots Of A Quadratic EquationThe 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 – …

# Solving A Quadratic Equation By Completing The Square

Solving A Quadratic Equation By Completing The SquareEvery 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…