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How to solve the quadratic equation …

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How to solve the quadratic equation by the method of completing square ?
  • 1 answers

Sumit Rao 7 years, 7 months ago

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 Geometry As you can see x2 + bx can be rearranged nearly into a square ... ... and we can complete the square with (b/2)2 In Algebra it looks like this: x2 + bx + (b/2)2 = (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.
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