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2 years, 3 months ago

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What are you having doubts about?

- 2 years, 3 months ago

Dear @Sandeep Bhardwaj pls help

- 2 years, 3 months ago

I think $$\pi$$ is the only value satisfying the given equation, when assumed that $$[..]$$ represents greatest integer function.

- 2 years, 3 months ago

yes sir, represents greatest integer function.

- 2 years, 3 months ago

Here is my approach we can write given equation as

$$[x] ^{2}-5[x]+6=sin(x)$$

Now we can see that LHS part is always integer. It means $$sin(x)$$ can be equal to $$-1,0, 1$$.

Further we can see that - 1 and 1 get rejected. This gives 2 solutions $$[x]=2, 3$$.

This gives $$2 \leq x <4$$ In the following range $$sin(x)$$ is 0 for only one value of x. That is $$x= \pi$$.

- 2 years, 3 months ago

How do you take out exponent of x outside from G.I.F

- 2 years, 3 months ago

Yes you are right, I accept my mistake. Luckily the answer got matched. I'm really sorry:-[

- 2 years, 3 months ago

he has factorized it

- 2 years, 3 months ago

Sorry Radhesh, my solution is a bit incorrect. I took $$[x]^{2}$$ in place of $$[x^{2}]$$ . So now I think you must try and solve the equation using graph.

- 2 years, 3 months ago

koi baaat nahi

- 2 years, 3 months ago

@shubhendra singh ,thank a lot

- 2 years, 3 months ago

You're welcome 8-)

- 2 years, 3 months ago