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# Solve the rational equation $x+\frac{1}{x}=3$

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##  Final answer to the problem

$x=2.618034,\:x=\frac{89}{233}$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
1

We need to isolate the dependent variable , we can do that by simultaneously subtracting $\frac{1}{x}$ from both sides of the equation

$x+\frac{1}{x}-\frac{1}{x}=3-\frac{1}{x}$

Learn how to solve rational equations problems step by step online.

$x+\frac{1}{x}-\frac{1}{x}=3-\frac{1}{x}$

Learn how to solve rational equations problems step by step online. Solve the rational equation x+1/x=3. We need to isolate the dependent variable , we can do that by simultaneously subtracting \frac{1}{x} from both sides of the equation. Canceling terms on both sides. Combine all terms into a single fraction with x as common denominator. Multiply both sides of the equation by x.

##  Final answer to the problem

$x=2.618034,\:x=\frac{89}{233}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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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

###  Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.