Question
Solve the equation
x1=−62,x2=0,x3=62
Alternative Form
x1≈−0.235702,x2=0,x3≈0.235702
Evaluate
x2−18x4×1=0
Multiply the terms
x2−18x4=0
Factor the expression
x2(1−18x2)=0
Separate the equation into 2 possible cases
x2=01−18x2=0
The only way a power can be 0 is when the base equals 0
x=01−18x2=0
Solve the equation
More Steps

Evaluate
1−18x2=0
Move the constant to the right-hand side and change its sign
−18x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−18x2=−1
Change the signs on both sides of the equation
18x2=1
Divide both sides
1818x2=181
Divide the numbers
x2=181
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±181
Simplify the expression
More Steps

Evaluate
181
To take a root of a fraction,take the root of the numerator and denominator separately
181
Simplify the radical expression
181
Simplify the radical expression
321
Multiply by the Conjugate
32×22
Multiply the numbers
62
x=±62
Separate the equation into 2 possible cases
x=62x=−62
x=0x=62x=−62
Solution
x1=−62,x2=0,x3=62
Alternative Form
x1≈−0.235702,x2=0,x3≈0.235702
Show Solution
