SOLUTION: Im really confused with this one. Please help. Solve, x½ – 4x¼ = –3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Im really confused with this one. Please help. Solve, x½ – 4x¼ = –3      Log On


   

Question 87517: Im really confused with this one. Please help. Solve, x½ – 4x¼ = –3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve, x½ – 4x¼ = –3
x^(1/2) - 4x^(1/4) + 3 = 0
Its a quadratic; the variable is x^(1/4)
Factor as follows:
(x^1/4 -3)(x^1/4-1) = 0
x^(1/4) = 3 or x^(1/4)=1
x = 81 o x = 1
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Cheers,
Stan H.