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ICSE Class 10 Answered

Solve that , a/(ax-1)+b/(bx-1)=(a+b)
Asked by debabratap261 | 18 Jan, 2019, 10:23: AM
answered-by-expert Expert Answer
begin mathsize 12px style fraction numerator a over denominator a x minus 1 end fraction plus fraction numerator b over denominator b x minus 1 end fraction space equals space left parenthesis a plus b right parenthesis space

fraction numerator a open parentheses b x minus 1 close parentheses plus b open parentheses a x minus 1 close parentheses over denominator open parentheses a x minus 1 close parentheses begin display style open parentheses b x minus 1 close parentheses end style end fraction space equals space fraction numerator 2 a b x space minus left parenthesis a plus b right parenthesis over denominator open parentheses a x minus 1 close parentheses open parentheses b x minus 1 close parentheses end fraction space equals space left parenthesis a plus b right parenthesis

2 a b x space equals space left parenthesis a plus b right parenthesis open square brackets open parentheses a x minus 1 close parentheses open parentheses b x minus 1 close parentheses plus 1 close square brackets space space

2 a b x space equals space left parenthesis a plus b right parenthesis open square brackets a b x squared minus left parenthesis a plus b right parenthesis x plus 2 close square brackets space space

left parenthesis a plus b right parenthesis left parenthesis a b right parenthesis x squared space minus open square brackets open parentheses a plus b close parentheses squared plus 2 a b close square brackets x space plus space 2 left parenthesis a plus b right parenthesis space equals 0 space.......... left parenthesis 1 right parenthesis

l e t space p space equals space left parenthesis a plus b right parenthesis left parenthesis a b right parenthesis comma space space space q space equals space open square brackets open parentheses a plus b close parentheses squared plus 2 a b close square brackets space space space a n d space space space space r space equals space 2 left parenthesis a plus b right parenthesis

h e n c e space e q n. left parenthesis 1 right parenthesis space i s space w r i t t e n space a s comma space space space p x squared minus q x plus r space equals 0

h e n c e space x space equals space space fraction numerator q plus-or-minus square root of q squared space minus space 4 r p end root over denominator 2 p end fraction

end style
Answered by Thiyagarajan K | 19 Jan, 2019, 05:08: PM
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