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f(x) = x^4 - x^2 - 30
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let x^2=a 0=a^2-a-30 (a-.5)^2=30 + .25 a-.5= +-5.5 a=.5+-5.5 a= -5 , 6
so x^2=6 x= +-sqrt6 x^2=-5 x= +-isqrt5
\[\sqrt{6},~~~~-\sqrt{6},~~~~i \sqrt {5},~~~~-i \sqrt {5}\]
Wouldn't that just become x^2-30?
no, it would be a^2-a-30
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Where are you getting that a from? o.O
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