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Solve the rational equation $\frac{x}{3}+\frac{12}{x}=x-2$

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Solution

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Final answer to the problem

$x=6,\:x=-3$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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  • Find the derivative
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Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

Learn how to solve integrals of exponential functions problems step by step online.

$\frac{x}{3}+\frac{12}{x}-x=-2$

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Learn how to solve integrals of exponential functions problems step by step online. Solve the rational equation x/3+12/x=x-2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Combining like terms \frac{x}{3} and -x. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \frac{12}{x} from both sides of the equation. Canceling terms on both sides.

Final answer to the problem

$x=6,\:x=-3$

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Function Plot

Plotting: $\frac{x}{3}+\frac{12}{x}-x+2$

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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
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

How to improve your answer:

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Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

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