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ANSWER:

5 {a}^{2}  {x}^{2}  - 8abx + 3 {b}^{2}  = 0

=  > 5 {a}^{2}  {x}^{2}  - ( 5 + 3)abx + 3 {b}^{2}  = 0

=  > 5  {a}^{2}  {x}^{2}  - 5abx - 3abx + 3 {b}^{2}  = 0

=  > 5ax(ax - b)  -  3b(ax - b) =0

=  > (ax - b)(5ax - 3b) = 0

EITHER, ax-b=0

=> ax = b

=> x = b / a

Or, 5ax - 3b=0

=> 5ax = 3b

=> x = 3b / 5a

Answer :- The ROOTS of the EQUATION are b/a and 3b/5a.



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