SOLUTION: 2T^-4 -5T^-2 +2=0 2T HAS A NEGATIVE EXPONENT OF -4 AND 5T HAS A NEGATIVE EXPONENT OF -2 solve thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: 2T^-4 -5T^-2 +2=0 2T HAS A NEGATIVE EXPONENT OF -4 AND 5T HAS A NEGATIVE EXPONENT OF -2 solve thanks      Log On


   

Question 100595: 2T^-4 -5T^-2 +2=0



2T HAS A NEGATIVE EXPONENT OF -4 AND 5T HAS A NEGATIVE EXPONENT OF -2

solve





thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2T^-4 -5T^-2 +2=0
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Let x = T^-2
You get:
2x^2 - 5x + 2 = 0
(2x-1)(x-2)=0
x = 1/2 or x = 2
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Therefore:
T^-2 = 1/2 or T^-2 = 2
T = (1/2)^(-1/2) or T = 2^(-1/2)
T = sqrt2 or T = (sqrt2)/2
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Cheers,
Stan H.