SOLUTION: X^1/2-3x^1/4+2=0

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Question 1037741: X^1/2-3x^1/4+2=0
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
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raise each side to the half power.

x=1 or x=4
Answer by ikleyn(52834)   (Show Source): You can put this solution on YOUR website!
.
X^1/2-3x^1/4+2=0.
~~~~~~~~~~~~~~~~~ 

Introduce a new unknown p = .
Then  = , and your equation takes the form

 = .

Factor left side. You will get

(p-1)*(p-2) = 0.

The roots are p=1  or/and  p=2.

Since p = , it means that  

 = 1     (1)

or/and  

 = 2.    (2)

Raise 1) and (2) into degree 4. you will get the solutions of the original problem

x = 1  or/and  x =  = 16.

Answer.  x = 1  or/and  x = 16.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

X^1/2-3x^1/4+2=0
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