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

Question 213321: x^(1/2)-3^(1/4)+2=0
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^(1/2)-3^(1/4)+2=0
------------------
This is a quadratic; the variable is x^(1/4)
---------------------------------
Let w = x^(1/4)
----------------------
w^2 - 3w + 2 = 0
(w-2)(w-1) = 0
w = 2 or w = 1
--------------------------
x^(1/4) = 2 or x^(1/4) = 1
x = 16 or x = 1
================================
Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x^(1/2)-3^(1/4)+2=0
x^(1/2) = -2 + 3^(1/4)
Square both sides
x = 4 + sqrt(3) - 2*3^(1/4)
x = ~ 4 + 1.73205 - 2*1.316017
x = ~ 3.0999
RELATED QUESTIONS
4(x - 3) - 2(x - 1) >... (answered by checkley71)
3^x-1 + 4^x+2... (answered by ikleyn)
0 0 2 0 0 1 X 1 1 1 = 3 4... (answered by stanbon)
2(x-1)/3 + 3x/4 = 0 (answered by stanbon)
3x-1/2 -3(x-... (answered by solver91311)
x^1/2-3^1/4+2=0 (answered by josgarithmetic,ikleyn)
(x+4)^(1/2)+5x(x+4)^(3/2)=0 (answered by robertb)
x-3/4-2x - 1/x-2 + 1 =... (answered by jim_thompson5910)
(x-1)(x-2)(x-3)<0... (answered by lwsshak3)