Solve the equation. x^{4}-3x^{2}+1=0

snowlovelydayM

snowlovelydayM

Answered question

2021-10-01

Solve the equation.
x43x2+1=0

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-10-02Added 97 answers

Step 1
Given equation is x43x2+1=0.
Consider y=x2.
Then the given equation can be written as y23y+1=0.
Step 2
Solve for y.
y=(3)±942
=3±52
Then x=±3±52
=3+52,352,3+52,352

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