Question
Solve the equation
x1=−2,x2=0,x3=2
Evaluate
x6−16x2=0
Factor the expression
x2(x4−16)=0
Separate the equation into 2 possible cases
x2=0x4−16=0
The only way a power can be 0 is when the base equals 0
x=0x4−16=0
Solve the equation
More Steps

Evaluate
x4−16=0
Move the constant to the right-hand side and change its sign
x4=0+16
Removing 0 doesn't change the value,so remove it from the expression
x4=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±416
Simplify the expression
More Steps

Evaluate
416
Write the number in exponential form with the base of 2
424
Reduce the index of the radical and exponent with 4
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
x=0x=2x=−2
Solution
x1=−2,x2=0,x3=2
Show Solution
