Q. 16 A5.0( 2 Votes )

Find the roots of the following quadratic equations, if they exist by the method of completing the square:

5x2 – 6x – 2 = 0

Answer :

5x2 – 6x – 2 = 0


Dividing by 5



We know


(a – b)2 = a2 – 2ab + b2


Here, a=x and –2ab =


–2xb = ( a =x)


–2b =




Equation becomes



Add and subtract










Canceling squares both sides



Solving






So, and are the roots of the equation.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
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
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Understand The Concept of Quadratic Equation45 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