Q. 34.6( 17 Votes )

Find the ro

Answer :

Given: quadratic equation


To find: Roots by factorisation method.


Method Used:


To solve the quadratic equation by factorisation method, follow the steps:


1) Multiply the coefficient of x2 and constant term.


2) factorise the result obtained in step 1.


3) Now choose the pair of factors in such a way that after adding or subtracting(splitting) them


You get coefficient of x.


Explanation:


Given,


2x2 - 5x – 3 = 0


By splitting the middle term,


2x2 - 6x + x – 3 = 0


Taking common in the expression,


2x (x - 3) + 1 (x - 3) = 0


(2x + 1) (x - 3) = 0


2x + 1 = 0 and x – 3 = 0


x=-1/2 and x=3


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