Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Dear Deepak,
First recall the algebraic identities
We shall use these identities to carry out the process called Completing the Square. For example, consider the quadratic function
What can be added to yield a perfect square? Using the previous identities, we see that if we put 2e=8, that is e=4, it is enough to add to generate a perfect square. Indeed we have
It is not hard to generalize this to any quadratic function of the form . In this case, we have 2e=b which yields e=b/2. Hence
Example: Use Complete the Square Method to solve
Solution.First note that the previous ideas were developed for quadratic functions with no coefficient in front of . Therefore, let divide the equation by 2, to get
which equivalent to
In order to generate a perfect square we add to both sides of the equation
Easy algebraic calculations give
Taking the square-roots lead to
which give the solutions to the equation
We have developed a step-by-step procedure for solving a quadratic equation; or, in other words, an algorithm for solving a quadratic equation. This algorithm can be stated as a formula called Quadratic Formula
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best Deepak !!!Regards,Askiitians ExpertsRohith Gandhi P
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Win Gift vouchers upto Rs 500/-
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !