Just think of it this way- anything raised to a negative exponent implies the reciprocal (assuming real numbers here), and anything raised to a fractional exponent implies that the numerator is the exponent that the variable is raised to, and the denominator the "root" of which the variable is taken of. In your case, it is 2 divided by the quartic root of x.
If you thnk about it you dont need c++.com you have google,
If you think about it, you're saying the time of everyone on this site is worth less than your own. Why should you google when your trusty cplusplus.com dupes can do it for you?
Some of the tutorials are extremely clear. Short comments posted on forum are not likely to be as informative. If the easy texts are too much to grasp, then cryptic verses are like maximum improbability drive: highly unlikely to hit the spot.
First exponents, then lines, now circles, and what has the origin to do with anything anyway? A wild goose chase?
XD, but isnt that what every one who helps on beginner and general forum does?
TBF I plan on getting better so I can be of more help to people and im trying to get better by studying maths im finding the expression that is a circle reeally hard to follow, you know
A point (x,y) is part of a circumference of radius r [EDIT]centered at (0,0)[/EDIT] iff the above equation is true.
Now, say you want to the circumference to be shifted by 1 unit to the right (positive infinity of x axis). One's first inclination would be to modify the above equation to
sqrt((x+1)^2 + y^2) = r
Notice however that (r+1,0) should be in the circumference, but
sqrt((r+1+1)^2 + 0^2) = sqrt((r+1+1)^2) = r + 1 + 1 ≠ r
In reality, it should be
sqrt((x-1)^2 + y^2) = r
In fact, let (cx,cy) be the center, then
sqrt((x-cx)^2 + (y-cy)^2) = r
We can now start to simplify:
sqrt((x-cx)^2 + (y-cy)^2) = r
(x-cx)^2 + (y-cy)^2 = r^2
x^2 - 2 x cx + cx^2 + y^2 - 2 y cy + cy^2 - r^2 = 0
TBF I plan on getting better so I can be of more help to people and im trying to get better by studying maths im finding the expression that is a circle reeally hard to follow, you know
x2+y2+2gx+2fy+C=O
A circle is just defined as the set of points a certain distance (the radius) from some other point. So it makes sense that all points (x, y) a distance r from a point (a, b) could be represented by the equation
r = √(x-a)^2 + (y-b)^2, which is just the distance formula. If you square both sides and then expand the two terms you'll have something in the same form as the equation you wrote.