who is pinki
30 Answers
graph should exist only for +ve x axis and it should be concave downward. mkagenius plotted the correct graph.
but it thought √ is positive sq root and ()1/2 the ±
But is it the opposite..
@everyone...
Well... I din want to get into all this discussion.... bcos it wud confuse everyone...
Now that this has come we should realise that
√x and x1/2 are not the same!!
When we talk of one, it means + and - while the ohter means only the +ve root...
What abhishek is saying is essentially correct... But I did not want to get into this question of definitions :)
Please remember that a lot of it has to do with definitions......
I still dont think I am unpinking that first pink.... (cos Here i was not trying to catch u guys on the -ve thing)
@virang..............use some calculus dear.............this point plotting wont take u far..............(sorry if u feel i am harsh,but its truth)
3√x=√y+1
therefore
(y+1)3= x2
x2 = y3 + 1 +3y(y+1)
Therefore
when
y = 0, x =± 1
y = 1, x =±2√2
y = 2 ,x =±√27
y = -1 x = 0
y = -2 x=√-1
Therefore values of negative y cannot be plotted on the graph
this eq cn be written as x2=(y+1)3
i think the reqd. graph is.......
bt i m nt sure.............:)
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L.H.S IS 3√X ....SEE THIS CAN BE -VE.
BUT RHS √Y+1 CANt BE -VE.
SO I THINK NO GRAPH EXISTS IN -VE X......
x=-1 ,y=0 doesnt satisfy the given equation;
so i think the graph needs to b corrected....
squaring and cubing gave extra roots.....
sry if i m wrong......
moon.. you have found the points on the x and y axis.. but the general shape is a bit more "curved" than that....
Straight lines always are of the form
y=mx+c
or product of such lines..
plotting the pts i get graph like this........if it is wrong hw shd it be like thn?
it cant be strt line graph
otherwise the discontinuities look to hav bn taken nice care of!!!