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

Step-by-step Solution

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Final answer to the problem

$x=4,\:x=-4$
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Step-by-step Solution

How should I solve this problem?

  • Find the integral
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Find break even points
  • Load more...
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Apply fraction cross-multiplication

$x^2=2\left(x^2-8\right)$

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

$x^2=2\left(x^2-8\right)$

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Learn how to solve rational equations problems step by step online. Solve the rational equation x/(x^2-8)=2/x. Apply fraction cross-multiplication. Solve the product 2\left(x^2-8\right). Move everything to the left hand side of the equation. Combining like terms x^2 and -2x^2.

Final answer to the problem

$x=4,\:x=-4$

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Function Plot

Plotting: $\frac{x}{x^2-8}+\frac{-2}{x}$

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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
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

How to improve your answer:

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.

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