Question 350557
Ten divided by the difference of a number and 2 minus 9 divided by a number plus 2, equals 8 times the reciprocal of the difference of the number squared and 4. What is the number?
{{{10/(x-2) - 9/(x+2) =8/(x^2-4)}}}
LCM= (x-2)(x+2) of LHS
{{{(10(x+2)-9(x-2))/((x+2)(x-2))= 8/(x^2-4)}}}

{{{(10x+20-9x+18)/(x^2-4) = 8/(x^2-4)}}}
x+38 =8
x=-38+8
x=-30