Solve the rational equation $c-2=\frac{18}{c}+7$

Step-by-step Solution

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Final answer to the problem

$c=\frac{9+\sqrt{153}}{2},\:c=\frac{9-\sqrt{153}}{2}$
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Step-by-step Solution

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  • Solve for c
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Group the terms of the equation by moving the terms that have the variable $c$ to the left side, and those that do not have it to the right side

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$c-\frac{18}{c}=7+2$

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Learn how to solve problems step by step online. Solve the rational equation c-2=18/c+7. Group the terms of the equation by moving the terms that have the variable c to the left side, and those that do not have it to the right side. Add the values 7 and 2. Multiplying the fraction by -1. We need to isolate the dependent variable c, we can do that by simultaneously subtracting \frac{-18}{c} from both sides of the equation.

Final answer to the problem

$c=\frac{9+\sqrt{153}}{2},\:c=\frac{9-\sqrt{153}}{2}$

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Function Plot

Plotting: $c-2+\frac{-18}{c}-7$

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Go!
1
2
3
4
5
6
7
8
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
Dx
|◻|
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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