SOLUTION: 6x^4-13x^2+6=0

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Question 390973: 6x^4-13x^2+6=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let t+=+x%5E2
6+t%5E2+-+13t+-+5+=+0
t%5E2+-+13%2F6+t+-+5%2F6+=+0
t%5E2+-+13%2F6+t+=+5%2F6
t%5E2+-+13%2F6+t+%2B+169%2F144+=+5%2F6+%2B+169%2F144+=+289%2F144
%28t-13%2F12%29%5E2+=+289%2F144
t+-+%2813%2F12%29 = ± sqrt%28289+%2F+144%29
t+=+13+%2F12+%B1+17%2F12
so t+=+-+4%2F12+=+-1%2F3 and t+=+30%2F12+=+5%2F2
since t+=+x%5E2
x = ± sqrt%28t%29 = ± sqrt%28-1%2F3%29 and x = ± sqrt%285%2F2%29