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quartic equation

 
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Oct28-06, 08:03 PM   #1
 

quartic equation


I am trying to solve the following quartic equation using Ferrari's method. Can you please provide me with hints on how to proceed.

y^4-12y+3=0

this equation is of the form y^4+fx^3+gx^2+hx+j=0

When I use Ferrari's method and try to substitute y=x-f/4 I would get the same equation because f=0. I tried to form a quadratic equation:

(y^2)^2-12y+3=0

and I was able to get the two roots of this equation, but this is not using the Ferrari method.

Thanks
 
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