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
Quadratic Equations Examples
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