Daily Graph 09-08-09

{x}2 + {x2} = 1

14 Answers

3
msp ·

x2-2[x]x+[x]2+x2-[x2]=1

2x2-2x[x]+[x]2-[x2]=1

x belongs (0,1) 2x2=1 so we have the x=1/√2

x belongs (0,-1) 2x2-2x=1 then we wil have the line x=1/2-√3/2

x belongs (1,√2)

the graph will be 2x2-2x=0 in the given domain we don have ne graph.

so we have to do the same way for other intervals.

23
qwerty ·

nishant sir pls reply to d question dat i posted u in ur scrap buk..

1
$ourav @@@ -- WILL Never give ·

msp ,u are wrong....
when x belongs to (0,-1),,,it becomes 2x2+ 2x=1
n when x is in (1,√2),,,,it becomes...2x2 -2x=1

3
msp ·

yes sry ,i mistyped.

62
Lokesh Verma ·

so what does the graph look like?

1
xYz ·

sir,are you asking the graph
y={x}2+{x2}-1

62
Lokesh Verma ·

no.. this one is very simple..

I din intend that one.. but i have a question for the next question of the day :D

1
Arshad ~Died~ ·

sir..........wont {x}2 + {x2} have the same value for digits uptu 1st decimal place......??

62
Lokesh Verma ·

it will

but then the range of this function will be in between 0 and 2..

so the graph will make sense .. because of the narrow range.. one digit could be a lot of difference.. ;)

1
Arshad ~Died~ ·

sir,graph will oscillate about the x axis i think........i dont think that anyone will be able to draw it.....

62
Lokesh Verma ·

yup i kind of agree.. to a great extent..

but also keep in mind that the Graph of the day exercise here is mostly a qualitative analysis..

I have sometimes ignored to check the convexity or other minute things (unless it is crucial to the graph)

1
Arshad ~Died~ ·

sir i think u should also start a "equations analyze karo" section..:-)

1
Aditya Balasubramanyam ·

oh sorry ...

62
Lokesh Verma ·

@arshad.. the suggestion is good

but so far GOD that i give also serve the same purpose.. [1]

Your Answer

Close [X]