(X-3/x+3)+(x+3/x-3)=5/2

Asked by Kumar Swamy | 14th Feb, 2018, 06:58: AM

Expert Answer:

begin mathsize 16px style fraction numerator straight x minus 3 over denominator straight x plus 3 end fraction plus fraction numerator straight x plus 3 over denominator straight x minus 3 end fraction equals 5 over 2
Put space fraction numerator begin display style straight x minus 3 end style over denominator begin display style straight x plus 3 end style end fraction equals straight m
straight m plus 1 over straight m equals fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction
straight m squared plus 1 equals fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction straight m
2 straight m squared plus 2 equals 5 straight m
2 straight m squared minus 5 straight m plus 2 equals 0
2 straight m squared minus 4 straight m minus straight m plus 2 equals 0
2 straight m open parentheses straight m minus 2 close parentheses minus left parenthesis straight m minus 2 right parenthesis equals 0
left parenthesis straight m minus 2 right parenthesis left parenthesis 2 straight m minus 1 right parenthesis equals 0
straight m equals 2 space or space straight m equals 1 half
space fraction numerator begin display style straight x minus 3 end style over denominator begin display style straight x plus 3 end style end fraction equals 2 space or space space fraction numerator begin display style straight x minus 3 end style over denominator begin display style straight x plus 3 end style end fraction equals 1 half
After space solving space this space you space get space straight x equals 9 space or space minus 9 end style

Answered by Sneha shidid | 14th Feb, 2018, 10:40: AM