Question
Solve the equation
x1=−32,x2=32
Alternative Form
x1≈−1.259921,x2≈1.259921
Evaluate
(x6)2−16=0
Simplify
More Steps

Evaluate
(x6)2−16
Multiply the exponents
x6×2−16
Multiply the numbers
x12−16
x12−16=0
Move the constant to the right-hand side and change its sign
x12=0+16
Removing 0 doesn't change the value,so remove it from the expression
x12=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1216
Simplify the expression
More Steps

Evaluate
1216
Write the number in exponential form with the base of 2
1224
Reduce the index of the radical and exponent with 4
32
x=±32
Separate the equation into 2 possible cases
x=32x=−32
Solution
x1=−32,x2=32
Alternative Form
x1≈−1.259921,x2≈1.259921
Show Solution
