Completing the square method

Answer 1

2x² - 4x +3

= 2(x² - 2x) + 3

= 2(x² - 2x + (2/2)²) + 3 - [2*(2/2)²]

(you add (2/2)² in equation. you need to subtract same amount [2*(2/2)²] in equation.)

= 2(x² - 2x + 1) + 3 - 2

= 2(x² - 2x + 1) + 1

= 2(x -1)² + 1

if you are still confused, I want you to follow the related link that explains the concept of completing the square clearly.

Answer 2

Completing the square is a method to solve quadratic equations. To use this method you take the number without a variable and subtract it from both sides, so that it is on the opposite side of the equation. Then add the square of half the coefficient of the x-term to both sides. This will give you a perfect square equation to solve for.