Question
Solve the equation
x1=−6427,x2=0,x3=6427
Alternative Form
x1≈−0.379918,x2=0,x3≈0.379918
Evaluate
x2−16x6×3=0
Multiply the terms
x2−48x6=0
Factor the expression
x2(1−48x4)=0
Separate the equation into 2 possible cases
x2=01−48x4=0
The only way a power can be 0 is when the base equals 0
x=01−48x4=0
Solve the equation
More Steps

Evaluate
1−48x4=0
Move the constant to the right-hand side and change its sign
−48x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−48x4=−1
Change the signs on both sides of the equation
48x4=1
Divide both sides
4848x4=481
Divide the numbers
x4=481
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4481
Simplify the expression
More Steps

Evaluate
4481
To take a root of a fraction,take the root of the numerator and denominator separately
44841
Simplify the radical expression
4481
Simplify the radical expression
2431
Multiply by the Conjugate
243×433433
Simplify
243×433427
Multiply the numbers
6427
x=±6427
Separate the equation into 2 possible cases
x=6427x=−6427
x=0x=6427x=−6427
Solution
x1=−6427,x2=0,x3=6427
Alternative Form
x1≈−0.379918,x2=0,x3≈0.379918
Show Solution
