Q. 10

Solve the equatio

Answer :

Given:


To find: Roots of the equation


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:


Consider ,



2ab (2x – 2a – b – 2x) = (2a + b)2x (2a + b + 2x)


2ab (-2a – b) = 2(2a+ b) (2ax + bx + 2x2)


-ab = 2ax + bx + 2x2


2x2 + 2ax + bx + ab = 0


2x (x + a) + b (x + a) = 0


(2x + b) (x + a) = 0



Hence the roots are .


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