Question

Solve using splitting the middle term 36x2-12ax+(a2-b2)=0

Answer 1

36x2-12ax+(a2-b2)=0

36x2-12ax+a2-b2=0
36x2-(6+6)xa+(a)2-b2=0
36x2-6xa-6xa+(a)2-b2=0
6x(6x-a)-a(6x-a)-b2=0
(6x-a) (6x-a)-b2=0
(6x-a)2-b2=0
(6x-a-b) (6x-a+b)=0
Compare

6x-a-b=0
6x=a+b
x=a+b/6


6x-a+b=0
6x=a-b
x=a-b/6

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