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# Solve the rational equation $x^2+8=\frac{x-1}{x}$

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##  Final answer to the problem

$x=\frac{7+\sqrt{53}}{2},\:x=\frac{7-\sqrt{53}}{2}$
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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 $x$, we can do that by simultaneously subtracting $8$ from both sides of the equation

$x^2+8-8=\frac{x-1}{x}-8$

Learn how to solve problems step by step online.

$x^2+8-8=\frac{x-1}{x}-8$

Learn how to solve problems step by step online. Solve the rational equation x^2+8=(x-1)/x. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 8 from both sides of the equation. Canceling terms on both sides. Combine all terms into a single fraction with x as common denominator. Combining like terms x and -8x.

##  Final answer to the problem

$x=\frac{7+\sqrt{53}}{2},\:x=\frac{7-\sqrt{53}}{2}$

##  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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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
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