SOLUTION: Solve the equation by making an appropriate substitution. 2x^1/2-5x^1/4-3=0

Question 1058943: Solve the equation by making an appropriate substitution.
2x^1/2-5x^1/4-3=0
Answer by ikleyn(52756) (Show Source): You can put this solution on YOUR website!
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Solve the equation by making an appropriate substitution.
2x^1/2-5x^1/4-3=0
~~~~~~~~~~~~~~~~~~~~~~

The appropriate substitution is

u = x^(1/4),

after which the equation takes the form

 = 0.

 =  = .

Only positive root is allowed, which is u = 3.

Then x^(1/4) = 3  --->  x =  = 81.

Answer.  The solution is  x = 81.

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