SOLUTION: Solve root3 x + root2 x = 1 I mean the root sign is just for the 3 or the 2 and the x is separately after that.

Algebra ->  Expressions -> SOLUTION: Solve root3 x + root2 x = 1 I mean the root sign is just for the 3 or the 2 and the x is separately after that.      Log On


   

Question 1037781: Solve root3 x
+
root2 x
= 1
I mean the root sign is just for the 3 or the 2 and the x is separately after that.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2Cx%29+%2B+sqrt%28x%29+=+1
---
root%283%2Cx%29+-+1+=+-sqrt%28x%29
Square both sides
root%283%2Cx%5E2%29+-+root%283%2C8x%29+%2B+1+=+x
root%283%2Cx%5E2%29+=+root%283%2C8x%29+-+1+%2B+x
Cubing both sides gets messy and results in at least a 6th power of x.
======
Using graphical methods,
x =~ 0.18503737524864