Solve the given equation that involves fractional indices

I have seen the way you have used the approximation...it's the same that i am using...i will do a more detailed analysis and then inform you of what i need to. Cheers Charles Link...The problem is a school problem...i am helping a friend solve it, that's why i am saying let's explore on a numerical method...i mean i am not in school anymore.You want to find the value of ##x## that satisfies the equation$$x^\frac{2}{3} - x^\frac{-3}{2}-6=0$$You started by multiplying both sides by ##x^\frac{3}{2}## and got this$$x^\frac{13}{6}-6x^\
  • #36
chwala said:
'indices'
Indices -- the plural of index -- is the correct spelling. As far as I'm aware, there is no such word as indicies in English.
 
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  • #37
Mark44 said:
Indices -- the plural of index -- is the correct spelling. As far as I'm aware, there is no such word as indicies in English.
Thanks noted.
 
  • #38
It's not really English it's Greek. So not every native English speaker knows this particular singular-plural couple. (And actually that is true for a number of scientific terms.)

Oh, and while I am here, people have gone thoroughly through calculations of, I guess, some interest, but none of it had the point that your original equation before you mistranscribed it had. :smile:
 
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  • #39
epenguin said:
It's not really English it's Greek.
The word I said wasn't English was "indicies," a misspelling of indices. "Index" and its plural "indices" (also "indexes") are Latin in origin. See https://www.etymonline.com/word/index.
epenguin said:
So not every native English speaker knows this particular singular-plural couple.
Absolutely. Some others include codex/codices, vortex/vortices, vertex/vertices, as well as words that end in -ix such as appendix/appendices, cicatrix/cicatrices (scar) and a few others. I suspect that these Latin plural endings will become obsolete if they aren't already.
 
  • #40
Exactly- some of us know, some of us don't know and some of us have a vague idea or feeling. :redface:
 

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