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How to solve the quadratic equation by the method of completing square ? |
| Answer» Say we have a simple expression like x2 + 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:Completing the Square GeometryAs you can see x2 + bx can be rearranged nearly into a square ...... and we can complete the square with (b/2)2In Algebra it looks like this:x2 + bx\t+ (b/2)2\t=\t(x+b/2)2 "Complete the Square" So, by adding (b/2)2 we can complete the square.And (x+b/2)2 has x only once, which is easier to use. | |