Math Is Fun Forum

Ok so x is +/- 2*((22/3)^(1/2)).
How do we know that it crosses the x axis?
Is this the equation of an ellipse?

Thanks bobby, but why does the first derivative method work here and not in the following sum? (7x-2)^(1/3)+(7x+5)^(1/3)=3.

Thanks for your response.
I think, equating 0^0 to anything is our construct, I think we should leave 0^0 as it is without equating it to anything that we understand today.

Thanks for all the responses, these are very insightful.
But
1. why would a 0^0 situation arise, that it would need to be answered.
2. 0 represents the 'lack of anything'. So 'lack of anything' times 'lack of anything' would be something or even a set or is this gibberish. That is why I wanted to know what is it to try to answer 0^0?

Is it right to ask ... What is 0^0?

This is really a interesting thought.
Zero is used to denote an absence (of anything, not a particular thing). To compare it to something i think is a fallacy. ...but i dont know how we explain this absence in a series as follows ...,-3,-2,-1,0,1,2,3,.. Vs ...3,2,1,0. Which i think is your question.
Is it that putting zeroes to the right of a number is a different zero as compared to the one represent in the above 2 series?

slightly more accurate - more number of digits:
37.4204727089714017054

Apologies for my ignorance, what is a generating function

thanks Bob your approach really helped ... a good question.

Angle C'EA' = arccosine (4.5/sqrt21) = 10.9 degrees (approximately)

C'A = 2 sqrt7
C'E = Sqrt 21
CC' = 2 X Sqrt3

Thank you, this simplifies the problem completely... though i still need to calculate the answer...Thanks