Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
STEP 1: Factor x
^2
−
8
x
+
12 using the AC method.
[tex]\frac{4}{(x-6)(x-2)} =\frac{x}{x-2} +\frac{1}{x-6}[/tex]
STEP 2: Find the LCD of the terms in the equation.
[tex](x-6)(x-2)[/tex]
STEP 3: Multiply each term by (
x
−
6
)
(
x
−
2
) and simplify.
[tex]4=x^2-5x-2[/tex]
STEP 4: Solve the equation.
[tex]x=6,-1[/tex]
STEP 5: Figure out the answer.
[tex]x=-1[/tex]
