abx^2-(a^2-b^2)x-ab, solve by sridhara acharyya's method.

Asked by abhrabiswas | 14th Dec, 2018, 09:59: AM

Expert Answer:

begin mathsize 12px style G i v e n space q u a d r a t i c space e q u a t i o n space i s space space space space a b x squared space minus left parenthesis a squared minus b squared right parenthesis x space minus space a b space equals space 0

R o o t s space a r e space g i v e n space b y space comma space space space x space equals space fraction numerator open parentheses a squared minus b squared close parentheses plus-or-minus square root of open parentheses a squared minus b squared close parentheses squared plus 4 a squared b squared end root over denominator 2 a b end fraction space equals space fraction numerator open parentheses a squared minus b squared close parentheses plus-or-minus left parenthesis a squared plus b squared right parenthesis over denominator 2 a b end fraction
h e n c e space r o o t s space a r e space a over b space a n d space minus b over a
end style

Answered by Thiyagarajan K | 14th Dec, 2018, 12:35: PM

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