Question
Solve the equation
x1=0,x2=1
Evaluate
(x5)4−x5=0
Simplify
More Steps

Evaluate
(x5)4−x5
Multiply the exponents
x5×4−x5
Multiply the numbers
x20−x5
x20−x5=0
Factor the expression
x5(x15−1)=0
Separate the equation into 2 possible cases
x5=0x15−1=0
The only way a power can be 0 is when the base equals 0
x=0x15−1=0
Solve the equation
More Steps

Evaluate
x15−1=0
Move the constant to the right-hand side and change its sign
x15=0+1
Removing 0 doesn't change the value,so remove it from the expression
x15=1
Take the 15-th root on both sides of the equation
15x15=151
Calculate
x=151
Simplify the root
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution
