Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
ISI 2015 PCB A2
Devasish Ghosh
asked
in
Others
Mar 4, 2017
retagged
Jun 23, 2017
by
Arjun
411
views
3
votes
3
votes
Find all real solutions of the equation $x^{2} - |x-1| - 3 = 0$
engineering-mathematics
quadratic-equations
isi2015
Devasish Ghosh
asked
in
Others
Mar 4, 2017
retagged
Jun 23, 2017
by
Arjun
by
Devasish Ghosh
411
views
answer
comment
Follow
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
5
votes
5
votes
Best answer
$x = 1$ does not satisfy the equation
considering the domain $x > 1$
$x^{2}-(x-1)-3=0\\ x^{2}-x-2=0$
$x=2$
considering the domain $x<1$
$x^{2}-(1-x)-3=0\\ x^{2}+x-4=0$
$x=\frac{-1-\sqrt{17}}{2}$
Anand Vijayan
answered
Mar 4, 2017
selected
Mar 4, 2017
by
Devasish Ghosh
by
Anand Vijayan
comment
Follow
share this
0 Comments
Please
log in
or
register
to add a comment.
← Previous
Next →
← Previous in category
Next in category →
Related questions
11
votes
11
votes
1
answer
1
Devasish Ghosh
asked
in
Theory of Computation
Mar 9, 2017
1,076
views
ISI 2015 PCB C4 A
Design a context free grammar for the language consisting of all strings over $\mathbf{\{a,b\}}$ that are not the form $\mathbf{ww}$ for any string $\mathbf{w}$
Devasish Ghosh
asked
in
Theory of Computation
Mar 9, 2017
by
Devasish Ghosh
1.1k
views
pushdown-automata
theory-of-computation
isi2015
12
votes
12
votes
2
answers
2
Devasish Ghosh
asked
in
DS
Mar 8, 2017
1,291
views
ISI 2015 PCB C2 B
You are given a array $A$ of size $n$. Your are told that $A$ comprises three consecutive runs - first a run of $a$'s, then a run of $b$'s and finally a run of $c$'s. Moreover, you are provided an index of $i$ such that $A[i] = b$. Design an $O(\log n)$ time algorithm to determine the number of $b$'s (i.e., length of the second run) in $A$.
Devasish Ghosh
asked
in
DS
Mar 8, 2017
by
Devasish Ghosh
1.3k
views
data-structures
array
isi2015
13
votes
13
votes
2
answers
3
neha.i
asked
in
Probability
May 11, 2017
2,025
views
ISI2015-MMA-7
Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is $\frac{e^{\lambda }-1}{\lambda }$ $\frac{e^{\lambda }-1}{\lambda +1}$ $\frac{1-e^{-\lambda }}{\lambda}$ $\frac{1-e^{-\lambda }}{\lambda + 1}$
neha.i
asked
in
Probability
May 11, 2017
by
neha.i
2.0k
views
isi2015
engineering-mathematics
poisson-distribution
11
votes
11
votes
2
answers
4
Devasish Ghosh
asked
in
Graph Theory
Mar 8, 2017
1,185
views
ISI2015-PCB-C3
For a positive integer $n$, let $G = (V, E)$ be a graph, where $V = \text{{0,1}}^n$, i.e., $V$ is the set of vertices has one to one correspondence with the set of all $n$-bit binary strings and $E = \{(u,v) \mid u, v$ belongs to $V, u$ and $v$ differ in exactly one bit position$\}$. Determine size of $E$ Show that $G$ is connected
Devasish Ghosh
asked
in
Graph Theory
Mar 8, 2017
by
Devasish Ghosh
1.2k
views
graph-theory
discrete-mathematics
isi2015
graph-connectivity
Subscribe to GATE CSE 2023 Test Series
Subscribe to GO Classes for GATE CSE 2023
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
From Rank 4200 to 64: My Journey to Success in GATE CSE Exam
What are the key things to focus on during the final 10-15 days before the GATE exam to improve performance?
All India GO Classes Mock test
NTA UGC NET JRF December 2022 Apply Online Form 2023
Life happens, just chill and do hardwork
Subjects
All categories
General Aptitude
(2.5k)
Engineering Mathematics
(9.3k)
Digital Logic
(3.3k)
Programming and DS
(5.8k)
Algorithms
(4.6k)
Theory of Computation
(6.7k)
Compiler Design
(2.3k)
Operating System
(5.0k)
Databases
(4.6k)
CO and Architecture
(3.8k)
Computer Networks
(4.6k)
Non GATE
(1.3k)
IS&Software Engineering
(386)
Web Technologies
(81)
Numerical Methods
(59)
Artificial Intelligence
(56)
Computer Graphics
(108)
Object Oriented Programming
(108)
Java
(34)
Cloud Computing
(4)
Distributed Computing
(14)
Information Theory
(4)
Data Mining and Warehousing
(23)
Optimization
(20)
Digital Image Processing
(17)
Digital Signal Processing
(34)
Computer Peripherals
(13)
Multimedia
(2)
Geometry
(53)
Integrated Circuits
(9)
Big Data Systems
(1)
Others
(315)
Others
(2.4k)
Admissions
(649)
Exam Queries
(842)
Tier 1 Placement Questions
(17)
Job Queries
(74)
Projects
(9)
Unknown Category
(853)
Recent Blog Comments
Eligibility Criteria: Discipline of...
4-year B.Tech./B.E. degree or a MSc./MCA degree...
I am not sure about others but I would pay 2X...
@DebRC Yes. This, time stamp and comparing...
Small feedback for next year. It would be great...
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy