106forget about this question if you are a JEE aspirant.... i was myself told to forget about such questions
\large find \, the\,no.\,solutions\,of\,\rightarrow \,2^{x}= x^{2}+1
see actually by drawing graph no. of sol. "seems" to be 2....but actually the ans. is 3.....( i checked it on wolfram alpha )......but i want to know how shud we ans. such ques.....we offcourse can't draw graph wid such accuracy????
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106
62it is 3 because the graph of 2^x is exponential so it will eventually take over the graph of x^2+1 (or for that matter any polynomial)
Now can you figure out..
* I remember when i was preparing for my IIT JEE I was shocked to know that this has 3 solutions :D... So i remember this specifically [1]
1In this regard...I remember one comment that Nishant Sir had told us when Edu came to DGP for first time.......'twas about parabolas...."Haat upar karke fail jata hai ...depending on "a" "
Remember this Sir ?? (It was from Quadratic equations)
62lol.. yeah kind of .. i do.. but i dont think the equation of a exponential function should be explained using that logic ;)
