SOLUTION: 2x^1/2 + 3x^1/4 = 2

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Question 327351: 2x^1/2 + 3x^1/4 = 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution.
Let u=x%5E%281%2F4%29, then u%5E2=x%5E%281%2F2%29
2x%5E1%2F2+%2B+3x%5E1%2F4+=+2
2u%5E2%2B3u-2=0
%282u-1%29%28u%2B2%29=0
Two solutions:
2u-1=0
2u=1
u=1%2F2
x%5E%281%2F4%29=1%2F2
x=%281%2F2%29%5E4
highlight%28x=1%2F16%29
.
.
.
u%2B2=0
u=-2
x%5E%281%2F4%29=-2
highlight%28x=16%29