NO. OF SOLUTIONS.

l sin pi x2 + cos pi x2 l = âˆš((lnl x l )³ +1) is...............

[ ans is 6 ]

3 Answers

106

Asish Mahapatra ·2010-02-25 23:29:26

simplest way... draw graphs....

u can do that on ur own.. i gues...

its too tiring to draw graphs on comp and then post...

OK BUT ME LITTLE WEAK IN GRAPHS.....
PLEASE IS BAR GRAPH DRAW KARDENA ASISH PLEASE,,,,
HELP ME YYAAR.I'M DESPERATE...

see if you simplify your functional eq it becomes (ln|x|)³=-sinxpi.

Now consider the first quadrant. We have ln1=0 and lne=1.

So the ln graph definitely cuts the sine graph once before 1, then at 1, and the once between 1 and 2.

So that's 3 solns in quadrant 1. Since ln|x| has a reflection in the 2nd and 3rd quadrant. there are 6 solns.

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