Incels.is - Involuntary Celibate

Welcome! This is a forum for involuntary celibates: people who lack a significant other. Are you lonely and wish you had someone in your life? You're not alone! Join our forum and talk to people just like you.

SuicideFuel Math thread problem (official)

trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Post all math related problems and solutions here. Don't cheat.

First problem: If the coefficients of x³ and x^4 in the expansion of (1+ ax+ bx² ) (1−2x) ^18 in powers of x are both zero, then (a, b) is equal to?
 
G

gogg

Recruit
★★
Joined
Oct 9, 2022
Posts
141
Online
3d 21h 14m
First problem: If the coefficients of x³ and x^4 in the expansion of (1+ ax+ bx² ) (1−2x) ^18 in powers of x are both zero, then (a, b) is equal to?
16, 90.6̅
 
G

gogg

Recruit
★★
Joined
Oct 9, 2022
Posts
141
Online
3d 21h 14m
he said no cheating. cheating is not helping you get smarter, cheating is lying to people, and cheating is wrong. you also clearly didnt read his original message that said "no cheating" because otherwise you would have known. The first two rules to math are 1. DONT CHEAT!!!!1 and 2. Read the problem alllll the way through. Just going off of this, you probably cheat in other areas of life too, dont you? Infact, this is why you are an incel. If you hadnt cheated, you might have turned out differently. However, you can still change your future! Thats right, its not too late!!! If you start reading problems the whole way through and stop cheating, you will not be an incel anymore!! Be smarter my friend
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Compute the integral of 1/(1+x^5)
 
AfricanIncel

AfricanIncel

Angry Shitskin
★★★★★
Joined
Jul 5, 2022
Posts
6,117
Online
41d 17h 19m
Post all math related problems and solutions here. Don't cheat.

First problem: If the coefficients of x³ and x^4 in the expansion of (1+ ax+ bx² ) (1−2x) ^18 in powers of x are both zero, then (a, b) is equal to?
0B4A00DF C665 498D 8AD8 A4E86346067E


(1+ax+bx^2)(1-2x)^18 = 0
1+
x=4
a= 1
b= 2
(1 + 1 • 4 + 2 • 16) (1-2 • 3)^18
PEMDAS
(138)(-4)^18
(68719476736) (138)
?
 
zephyr

zephyr

UK Wizardcel
★★
Joined
Jul 22, 2021
Posts
1,646
Online
34d 14h 17m
Grinds my gears the way they refer to it as math (problems) like mega cope much. This $*** ain't bothering no one.
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Grinds my gears the way they refer to it as math (problems) like mega cope much. This $*** ain't bothering no one.
Wtf are you talking about? :feelskek:
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Find sum of the absolute values of the roots of the equation below:

(144^x + 324^x)/64^x + 729^x = 6/7
 
Khanivore

Khanivore

you better wrk than sit here like dimwit
★★★★★
Joined
Sep 15, 2022
Posts
5,445
Online
30d 20h 36m
Who stickied it and why
 
Retardinator

Retardinator

Not made for this world
★★
Joined
Sep 5, 2022
Posts
3,603
Online
36d 11h 17m
I fucking hate math

One time I literally got 3 F's in a row.
 
decembrist_kirillov

decembrist_kirillov

coping till death
★★★★★
Joined
Dec 12, 2021
Posts
17,671
Online
46d 6h 55m
i used to slay problems when i was preparing for university
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
For how many values of x is x to the power of floor function of [x] an integer? Being 0<x<1000
 
Last edited:
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
For how many values of x is x to the power of floor function of [x] an integer? Being 0<x<1000
Seems to be true for all 999 integer values. Let's se what else we can add
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Seems to be true for all 999 integer values. Let's se what else we can add
I've written it wrongly, it should be: For how many values of x is f(x) = x(raised to the floor function of x) a positive integer less than 1000
 
Last edited:
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
I've written it wrongly, it should be: For how many values of x is f(x) = x(raised to the floor function of x) is a positive integer less than 1000
Trying to guess something besides 1,2,3,4
 
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
I've written it wrongly, it should be: For how many values of x is f(x) = x(raised to the floor function of x) a positive integer less than 1000
For every real value of x between 0 and 1 f(x) would be 1. Which is less than 1000. So the answer is infinity?
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
For every real value of x between 0 and 1 f(x) would be 1. Which is less than 1000. So the answer is infinity?
Indeed, X needs to be equal or greater than 1, though I'm struggling to find the original problem
 
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
Indeed, X needs to be equal or greater than 1, though I'm struggling to find the original problem
In that case I can only think of 1,2,3,4. For any other non integer value, f(x) would be non integer.
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
In that case I can only think of 1,2,3,4. For any other non integer value, f(x) would be non integer.
It's all values of x(raised to floor), such that f(x) is an integer.

Found the original: How many positive integers
$N$
less than
$1000$
are there such that the equation
$x^{\lfloor x\rfloor} = N$
has a solution for
$x$
?
 
Last edited:
Ritalincel

Ritalincel

★★★★★
Joined
Nov 25, 2017
Posts
35,274
Online
200d 5h 4m
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
It's all values of x(raised to floor), such that f(x) is an integer
Nice catch. So all integer sqroots btw 2 and 3. 5,6,7,8 . All integer cube roots between 3 and 4. 64-27-1= 36. All fourth roots btw 4 and... Whatever. 625-256-1=368

368+36+4+4= 412
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Nice catch. So all integer sqroots btw 2 and 3. 5,6,7,8 . All integer cube roots between 3 and 4. 64-27-1= 36. All fourth roots btw 4 and... Whatever. 625-256-1=368

368+36+4+4= 412
Correct :feelsokman:
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Given that z = 5 - 5i, we define f(n) = ∣ z to the power of (2n + 1) + conjugate of z to the power of (2n + 1) ∣ for each n belong to the natural numbers.

Therefore, the sum of f(n) from 1 to 20 is?
 
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
Given that z = 5 - 5i, we define f(n) = ∣ z to the power of (2n + 1) + conjugate of z to the power of (2n + 1) ∣ for each n belong to the natural numbers.

Therefore, the sum of f(n) from 1 to 20 is?
Unless I'm making a mistake this is coming out to be a pretty big number

2((2.5^3).((2.5^2) ^20-1) /49))
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
How many solutions, in the interval (-4pi, 4pi) the following equation has?

Cos(x) . (Cos(x/3) + 2sin(x) - sin(x) . sin (x/3) - 2 = 0
 
Valiant Virgin

Valiant Virgin

Just a face in the crowd
★★★★★
Joined
Nov 7, 2018
Posts
10,887
Online
31d 10h 24m

SuicideFuel​

 
Betrayed

Betrayed

Revolutionary
★★★
Joined
Sep 8, 2022
Posts
3,792
Online
16d 23h 6m
Caesercel

Caesercel

Salem’s Lot Cel
★★★★★
Joined
Jun 14, 2020
Posts
19,184
Online
323d 15h 26m
How many solutions, in the interval (-4pi, 4pi) the following equation has?

Cos(x) . (Cos(x/3) + 2sin(x) - sin(x) . sin (x/3) - 2 = 0
You are forgetting a bracket
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
In the following expansion, what's the sum of the coefficient of all x to the power of a multiple of 3?

(1 + x² - x³ + x^4)^10
 
PLA1092

PLA1092

I.N.C.E.L. Special Agent
★★★★★
Joined
Feb 3, 2022
Posts
11,429
Online
45d 4h 29m
Get away from me; I detest being IQmogged! :feelsUgh:

If I was high IQ, I would've studymaxxed on a scholarship and been at Google already; quite unfortunate. :society:
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Get away from me; I detest being IQmogged! :feelsUgh:

If I was high IQ, I would've studymaxxed on a scholarship and been at Google already; quite unfortunate. :society:
You are high IQ sir, your comments are of extraordinary quality, especially with those emojis at the end of every sentence
 
Intellau_Celistic

Intellau_Celistic

5'3 KHHV Mentalcel
★★★★★
Joined
Aug 26, 2021
Posts
24,157
Online
266d 3h 59m
Explanation(This is the best I can do as a rescue):

Off-Topic Logic Game
Unintelligent_Anon
Png


Join Date: 2016-02-24
Post Count: 361
#185501144Wednesday, March 16, 2016 11:07 PM CDT
Greetings, Off-Topic. On this particular occasion, I have decided to have an entertaining discussion with all of you by composing a simple game based on logical-reasoning. Firstly, while utilizing mathematics, we have objective statements such as "x = 5" Those particular type of statements are properly known as "predicates", given that they equate to either the Boolean values of true and/or false. within the above premise, it merely defines the quantity that variable 'x' represents. Therefore, it is "true" predicate. Although I used "x = 5", we could use symbolic notation such as this: E(x) = 5 Where uppercase "E" refers to the word "Equal", and the input variable 'x' receives the quantity described on the opposite side of the "=" operand. --------------------------------------- Recognizing the above objective explanation, the goal of the game is rather basic: to derive logical expressions to be interpreted by other users. I have devised a minimal list of logical symbols below: "-->" - The logical "if-then" operator. "If certain cookies are delicious, then some grapes are bluish"(Note that the premise predicate and the conclusion predicate do not necessarily need to be related. They merely need to have an obtainable Boolean value. '~' - The logical "NOT" operator. It merely negates "true"/"false" Boolean predicates into the opposite Boolean value. ~"I decided to traverse the area" becomes "I decided not to traverse the area." "^" - The logical AND operator. "(1+1 = 2) ^ (2 + 2 = 4) --> (5 + 5) == 10", which is true, given that "1 + 1 = 2 ^ 2 + 2 = 4" are both (true ^ true) respectively. Disregarding all of the other logical operators for the current moment, this is a sample expression that I have devised below: Suppose that we have variables 'a' and 'b': a = 100 b = 50 Firstly, let us define a predicate to determine whether the first value is a factor of the second value: R(a,b) = (a % b) This will retrieve the remainder of the division operation "a/b", using the difference between 'a' and 'b' as a referent. Likewise, R(b,a) would also retrieve the remainder of the division operation "b/a", using the difference between 'b' and 'a' as a referent. If I had an expression such as this: (R(a,b) = 0) ^ (R(b,a) = 0) It would be an expected case of a true/false pair. This is due to the mere fact that the (100 % 50) does not have a remainder, whereas (50/100) does indeed have a remainder of fifty itself. Hopefully the above descriptions provides a rather wholesome and otherwise precise discussion involving mathematical logic.
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Consider a point P whose coordinates (x,y), x,y∈R satisfy the system

4 cossec(α)x − 6cotg(α)y = 4sen(a)

12 cossec(α)y − 8cotg(α)x = 0

where α is an angle in radians other than kπ (k∈Z). The locus described by the points P, as the angle α is varied, is a segment of?
 
trying to ascend

trying to ascend

Youngcel KHHV
★★★★★
Joined
Aug 30, 2020
Posts
13,116
Online
330d 23h 5m
Let a be a positive real number. Set S(a) to the value of the enclosed area bounded by the y-axis, by the parabola =x² and by the tangent line to the same parabola at the point (a, a²).


Find the limit: lim→+∞ S(a)/(a³ + a² + a + 1)
 
Last edited:
W

wei#3959

Wizard
★★★★
Joined
Dec 13, 2020
Posts
4,356
Online
196d 7h 50m
Linesnap99

Linesnap99

Luminary
★★★★★
Joined
Mar 31, 2020
Posts
12,935
Online
87d 3h 1m
(FACE+2height)/NT
 

Similar threads

trying to ascend
SuicideFuel Prolem
Replies
7
Views
234
NoBitches
NoBitches
Incelius Savage
Replies
15
Views
455
UnknownR
U
Betrayed
Replies
4
Views
186
Retardinator
Retardinator
shape1
shape2
shape3
shape4
shape7
shape8
Top