# Solve for y y^4-2y^2+1=0

Substitute into the equation. This will make the quadratic formula easy to use.
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Set the equal to .
Add to both sides of the equation.
Substitute the real value of back into the solved equation.
Solve the equation for .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Any root of is .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for y y^4-2y^2+1=0

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