# Find the roots of the following quadratic (if they exist) by the method of completing the square.

We have to make the quadratic equation a perfect square if possible or sum of perfect square with a constant.

(a + b)2 = a2 + 2ab + b2

x2 + x/2 – 2 = 0

x2 + 2 × 1/4 × x + (1/4)2 - (1/4)2 – 2 = 0

(x + 1/4)2 = 33/16

x + 1/4 = � √33/4

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Understand The Concept of Quadratic Equation45 mins
Champ Quiz | Quadratic Equation33 mins
Balance the Chemical Equations49 mins
Quiz | Lets Solve Imp. Qs of Quadratic Equation43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses