Question

What is the solution to the rational equation x over x squared minus 9 minus 1 over x plus 3 equals 1 over 4x minus 12 ?

x = -9 over 7

x = 15

x = 15 over 7

x = 9

Answer 1

x / ( x² - 9 ) - 1/ ( x + 3 ) = 1 / ( 4 x - 12 )
Restrictions :  x ≠ +/- 3
x / ( x - 3 ) ( x + 3 ) -  1 / ( x + 3 ) = 1 / 4 ( x - 3 )        / · 4 ( x + 3 ) ( x - 3 )
4 x - 4 · ( x - 3 ) = x + 3
4 x - 4 x + 12 = x + 3
x = 12 - 3
Answer:  D ) x = 9