fraction numerator x minus 3 over denominator x plus 3 end fraction minus fraction numerator x plus 3 over denominator x minus 3 end fraction equals 48 over 7

Asked by dheesh462004 | 30th Jul, 2019, 01:02: AM

Expert Answer:

begin mathsize 16px style fraction numerator straight x minus 3 over denominator straight x plus 3 end fraction minus fraction numerator straight x plus 3 over denominator straight x minus 3 end fraction equals 48 over 7 end style
begin mathsize 16px style fraction numerator open parentheses straight x minus 3 close parentheses squared minus open parentheses straight x plus 3 close parentheses squared over denominator open parentheses straight x plus 3 close parentheses open parentheses straight x minus 3 close parentheses end fraction equals 48 over 7 end style
begin mathsize 16px style fraction numerator straight x squared minus 6 straight x plus 9 minus left parenthesis straight x squared plus 6 straight x plus 9 right parenthesis over denominator open parentheses straight x squared minus 9 close parentheses end fraction equals 48 over 7 end style
begin mathsize 16px style fraction numerator straight x squared minus 6 straight x plus 9 minus straight x squared minus 6 straight x minus 9 over denominator open parentheses straight x squared minus 9 close parentheses end fraction equals 48 over 7 end style
begin mathsize 16px style fraction numerator negative 12 straight x over denominator open parentheses straight x squared minus 9 close parentheses end fraction equals 48 over 7 end style
Solving this we get 4x2 + 7x - 36 = 0 
x = 9/4 or x = -4

Answered by Sneha shidid | 30th Jul, 2019, 10:24: AM