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 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 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 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 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…