Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−1,x2=0,x3=1
Evaluate
x2=x6
Raise both sides of the equation to the reciprocal of the exponent
(x2)21=(x6)21
Evaluate the power
∣x∣=x3
Evaluate
x=x3x=−x3
Calculate
More Steps
Evaluate
x=x3
Move the expression to the left side
x−x3=0
Factor the expression
x(1−x2)=0
Separate the equation into 2 possible cases
x=01−x2=0
Solve the equation
More Steps
Evaluate
1−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x2=−1
Change the signs on both sides of the equation
x2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
x=0x=1x=−1
x=0x=1x=−1x=−x3
Calculate
More Steps
Evaluate
x=−x3
Add or subtract both sides
x−(−x3)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x+x3=0
Factor the expression
x(1+x2)=0
Separate the equation into 2 possible cases
x=01+x2=0
Solve the equation
More Steps
Evaluate
1+x2=0
Move the constant to the right-hand side and change its sign
x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
x2=−1
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=0x∈/R
Find the union
x=0
x=0x=1x=−1x=0
Rearrange the terms
x=0x=1x=−1
Solution
x1=−1,x2=0,x3=1
Show Solution
Graph
