Question
Solve the equation
x1=−54125,x2=0,x3=54125
Alternative Form
x1≈−0.66874,x2=0,x3≈0.66874
Evaluate
x2−5x6=0
Factor the expression
x2(1−5x4)=0
Separate the equation into 2 possible cases
x2=01−5x4=0
The only way a power can be 0 is when the base equals 0
x=01−5x4=0
Solve the equation
More Steps

Evaluate
1−5x4=0
Move the constant to the right-hand side and change its sign
−5x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−5x4=−1
Change the signs on both sides of the equation
5x4=1
Divide both sides
55x4=51
Divide the numbers
x4=51
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±451
Simplify the expression
More Steps

Evaluate
451
To take a root of a fraction,take the root of the numerator and denominator separately
4541
Simplify the radical expression
451
Multiply by the Conjugate
45×453453
Simplify
45×4534125
Multiply the numbers
54125
x=±54125
Separate the equation into 2 possible cases
x=54125x=−54125
x=0x=54125x=−54125
Solution
x1=−54125,x2=0,x3=54125
Alternative Form
x1≈−0.66874,x2=0,x3≈0.66874
Show Solution
