Q. 124.0( 6 Votes )

Solve the equatio

Answer :

Given: equation .


To find: Roots by completing the square method.


Method Used:


For equation: ax2 + bx + c = 0, a ≠ 0


1) Make the coefficient of x unity by dividing throughout by it or if not, unity obtain .


2) Shift the constant term on RHS to get,



3) Add square of half of the coefficient of x on both sides of the equation:



4) Write LHS as the perfect square of a binomial expression and simplify RHS to get,



5) Take square on both sides to get,



6) Obtain the values of x by shifting the constant term on RHS.


Explanation:


Consider ,


To make the coefficient of x2 unity divide the equation by 2,




Shift the constant term on RHS to get,



Add square of half of the coefficient of x i.e. on both sides of the equation,



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


Now make the LHS perfect square:









x = 3 and x = 1/2


Hence the roots are 3 and 1/2.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

If the roots of tMathematics - Board Papers

Find the roots ofRD Sharma - Mathematics

Solve each of theRS Aggarwal - Mathematics

Solve each of theRS Aggarwal - Mathematics