1its the fast and the furious site..;-)
Draw the graph of x3+y3+3xy=1
This one is not very easy.. (But this is not the toughest one either)
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32 Answers
1i mean it wont be a curve or anything....just a set of points......am i right??
1my god everything here is happening at lightning fast speed ... :D
62@ Philip.. good one... :)
@ Arshad.. never be sorry for making mistakes... every one does it :)
106@phillip: nice one ...
@honey: so the point will be (-1,-1) which is the only point satisfying the second curve as the sum of three squares is zero implying that individual terms are zero
24wow philip.......
so for that expression to be zero...
x=y ,x=-1,y =-1
=> (-1,-1)
1i think phillip has already written what nishant sir was asking for.........:-)
62@arshad... Can you give a good justification to why it will be a set of points
@ Honey.. yes u are right.. but those will be taken care by x+y=1 .. ie by x=-1 *when y=2
1tooooooo much working
too complex graph.....will post it as soon as i draw it....
1there will be only two points (x2 + y2 + x+ y +1-xy)=0
that at x=-1
and y=-1
62No honey..
okie.. let me give a hint...
this is the sum of a few squares..
62eureka.. there is a better way to look at that expression given :)
62lol.. neither..
you havent looked at the expression closely enuf ;)
24what integer soln ?????
we have to sketch whole graph...............
24should I unhide my ans now ????since it is confirmed it is correct ??
1x3 + y3 + 3xy=1
(x+y-1)(x2 + y2 + x+ y +1-xy)=0
so eure is right about the x+y-1 line
:-)