Solve the equation $x^3-x=0$

Step-by-step Solution

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acosh
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Final answer to the problem

$x=0,\:x=1,\:x=-1$
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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
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1

Factor the polynomial $x^3-x$ by it's greatest common factor (GCF): $x$

$x\left(x^2-1\right)=0$

Learn how to solve simplification of algebraic fractions problems step by step online.

$x\left(x^2-1\right)=0$

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Learn how to solve simplification of algebraic fractions problems step by step online. Solve the equation x^3-x=0. Factor the polynomial x^3-x by it's greatest common factor (GCF): x. Break the equation in 2 factors and set each factor equal to zero, to obtain. Solve the equation (1). The variable is already isolated, so the solution is.

Final answer to the problem

$x=0,\:x=1,\:x=-1$

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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

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Function Plot

Plotting: $x^3-x$

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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

How to improve your answer:

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