Completing the square method
Optimized -6 min https://www. mathsisfun.com /algebra/completing-square.html View original Completing the Square " Completing the Square " is where we ... ... take a Quadratic Equation like this: and turn it into this: ax 2 + bx + c = 0 a(x+ d ) 2 + e = 0 For those of you in a hurry, I can tell you that: d = b 2a and: e = c − b 2 4a But if you have time, let me show you how to " Complete the Square " yourself. Completing the Square Say we have a simple expression like x 2 + bx . Having x twice in the same expression can make life hard. What can we do? Well, with a little inspiration from Geometry we can convert it, like this: As you can see x 2 + bx can be rearranged nearly into a square ... ... and we can complete the square with (b/2) 2 In Algebra it looks like this: x 2 + bx + (b/2) 2 = (x+b/2) 2 "Complete the Square" So, by adding (b