SOLUTION: two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9. what is the number?

Question 488871: two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9. what is the number?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9. what is the number?
**
let x=number
2/(x-3)-4/(x+3)=8/(x^2-9)=8/(x+3)(x-3)
LCD: (x+3)(x-3)
2(x+3)-4(x-3)=8
2x+6-4x+12=8
-2x+18=8
-2x=-10
x=5
RELATED QUESTIONS
nine divided by the difference of a number and 3 minus 8 divided by a number plus... (answered by ReadingBoosters)

Ten divided by the difference of a number and 2 minus 9 divided by a number plus 2,... (answered by mananth)

nine divided by the difference of a number and 2 minus 8 divided by a number plus 2,... (answered by ankor@dixie-net.com)

Five divided by the difference of a number and 2 minus 4 divided by a number plus 2... (answered by jorel1380)

Five divided by the difference of a number and 2, minus 4 divided by a number plus 2,... (answered by josgarithmetic)

seven divided by the difference of a number and 2 minus 6 divided by a number plus 2... (answered by karaoz)

6 divided by the difference of a number and 2, minus 5 divided by a number plus... (answered by ankor@dixie-net.com)

6 divided by the difference of a number and 2, minus 5 divided by a number plus... (answered by josgarithmetic)

Six divided by the difference of a number and 2,minus 5 divided by a number plus 2,... (answered by josgarithmetic)