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Note by Radhesh Sarma 2 years, 3 months ago

Easy Math Editor

*italics*

_italics_

**bold**

__bold__

- bulleted- list

1. numbered2. list

paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)

> This is a quote

This is a quote

# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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What are you having doubts about?

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Dear @Sandeep Bhardwaj pls help

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

yes sir, represents greatest integer function.

@Radhesh Sarma – 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 \(x= \pi\).

@Shubhendra Singh – How do you take out exponent of x outside from G.I.F

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

@Akhil Bansal – he has factorized it

@Radhesh Sarma – 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.

@Shubhendra Singh – koi baaat nahi

@Shubhendra Singh – @shubhendra singh ,thank a lot

@Radhesh Sarma – You're welcome 8-)

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestWhat are you having doubts about?

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Dear @Sandeep Bhardwaj pls help

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

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yes sir, represents greatest integer function.

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

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 \(x= \pi\).

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@shubhendra singh ,thank a lot

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