1a<3
Find value of "a" for which the inequality 3-mod(x-a)>x2 is satisfied by at least one negative value of x
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8 Answers
62draw the graph...
3-x2>|x-a|
the LHS will be inverted in the bottom direction with top vertex at (0,3)
|x-a| will be tangential with slope 1
so the slope of y=3-x2 is -2x
this has to be equal to 1 and -1
so at x=-1/2 and 1/2 the curve will touch..
where y= 3-1/4 = 11/4
11/4 = a-1/2 or 11/4 = -1/2 -a
a= 13/4 or a = -13/4
so for a solution, |x|<= 13/4
62see if there are ne calculation mistakes in the above solution..
i make a lot of them ;)
341My personal feeling is that this chap eureka123 should be blacklisted.
One thing is that our man just dumps all his assignments here for us to finish
Even if we become bakras and solve the problem he doesnt bother to say even thanks but simply posts some more. Lets stop such nonsense from happening in this forum.
I would say that we introduce a system that after a certain number of posts (like say 50), you have to earn points by solving others problems and you can spend them by posting problems of your own. This will actually help the forum members as they will be forced to use their brains rather than use others'!
62hey Eureka.. dont take prophet wrong..
if any of us had that feeling we would have not tried to help you ever.. isnt it :)
Basically prophet only wants that you try to say a final word on your posts where you ask doubts... Like at the end o fthe post if the answer is right .. just put a simple thank you.. kind of thing :)
Specially do take care when he replies to your posts....
CHeers man :)
24Sir I thought U and other guys understood my feelings.......But OK from now on I pledge to thank everyone.........THankx for your support.......