Answer:
The value of x is 9
Step-by-step explanation:
* It first we must to talk about the rational expression
- The rational expression is defined for all values of x except
the values make the denominator = zero
Ex: If the rational expression is a/b, then b ≠ 0 to be defined
* In any rational expression we must to avoid any values
make denominator = zero
* If we want to make rational expression equal to zero then we
must put the numerator equal to zero
* Now lets look to our problem
∵ The rational expression (x - 9)/(x - 4)(x + 4)
- To make this rational expression equal to zero, we must
equate the numerator by zero
∴ x - 9 = 0 ⇒ add 9 to both sides
∴ x = 9
* The value of x is 9
* Remember ⇒ x must not equal to 4 or -4 to avoid make
this rational expression undefined
