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

Step-by-step Solution

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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): $x$

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

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

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Learn how to solve equations 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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Function Plot

Plotting: $x^3-x$

SnapXam A2
Answer Assistant

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Got a different answer? Verify it!

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:

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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