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Doubt, please help


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Note by Radhesh Sarma
2 years, 3 months ago

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  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

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[example link](https://brilliant.org)example link
> 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"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

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What are you having doubts about?

Rahul Saha - 2 years, 3 months ago

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Dear @Sandeep Bhardwaj pls help

Radhesh Sarma - 2 years, 3 months ago

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

Sandeep Bhardwaj - 2 years, 3 months ago

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yes sir, represents greatest integer function.

Radhesh Sarma - 2 years, 3 months ago

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@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 - 2 years, 3 months ago

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

Akhil Bansal - 2 years, 3 months ago

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

Shubhendra Singh - 2 years, 3 months ago

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@Akhil Bansal he has factorized it

Radhesh Sarma - 2 years, 3 months ago

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@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 - 2 years, 3 months ago

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@Shubhendra Singh koi baaat nahi

Radhesh Sarma - 2 years, 3 months ago

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@Shubhendra Singh @shubhendra singh ,thank a lot

Radhesh Sarma - 2 years, 3 months ago

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@Radhesh Sarma You're welcome 8-)

Shubhendra Singh - 2 years, 3 months ago

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