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Solve the rational equation $\frac{x-6}{x^2-4x-12}+\frac{2}{x+2}=\frac{1}{x-6}$

Step-by-step Solution

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Solution

Final answer to the problem

$x=10$
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Step-by-step Solution

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Learn how to solve problems step by step online. Solve the rational equation (x-6)/(x^2-4x+-12)+2/(x+2)=1/(x-6). Factor the trinomial x^2-4x-12 finding two numbers that multiply to form -12 and added form -4. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Simplifying. Combine fractions with common denominator x+2.

Final answer to the problem

$x=10$

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Function Plot

Plotting: $\frac{x-6}{x^2-4x-12}+\frac{2}{x+2}+\frac{-1}{x-6}$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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