Question

Solve, $[3x + 1] = 2x - \frac{1}{2}$ , and find the sum of all roots.

score 430 · Answer 1 · 2021-01-07 18:20:07

430

Views

Solve, $[3x + 1] = 2x - \frac{1}{2}$ , and find the sum of all roots.

Published on 07 Jan 2021 - 18:20

score 223 · Answer 2 · 2021-01-08 12:08:41

223

Views

Find the number of positive integers $n < 2007$ such that $\Big[\frac{n}{2}\Big]$ + $\Big[\frac{n}{3}\Big]$ + $\Big[\frac{n}{6}\Big] = n$ .

Published on 08 Jan 2021 - 12:08

score 216 · Answer 3 · 2021-01-08 12:43:34

216

Views

Find the number of real values of $x$ such that $x^2 + 10000[x] = 10000x$ ($[]$ is the floor function)

Published on 08 Jan 2021 - 12:43

score 83 · Answer 4 · 2021-01-08 17:08:29

83

Views

Find the value of :- $2010 - \sum_{k=1}^{2010}\bigg\lceil\frac{2010}{k} - \bigg\lfloor \frac{2010}{k}\bigg \rfloor\bigg\rceil $

Published on 08 Jan 2021 - 17:08

score 105 · Answer 5 · 2021-01-08 18:19:45

105

Views

We have an integer n. We have n boxes where each box contains a non-negative amount of balls. Find all the permutations which satisfy some criteria

Published on 08 Jan 2021 - 18:19

score 203 · Answer 6 · 2021-01-10 21:34:42

203

Views

Alternative to Ceiling Function for Simple Sequence

Published on 10 Jan 2021 - 21:34

score 354 · Answer 7 · 2026-03-28 22:26:40

354

Views

Sum of two floors is equal

Published on 28 Mar 2026 - 22:26

score 120 · Answer 8 · 2021-01-12 01:57:00

120

Views

The floored quadratic equation $a \lfloor x^2 \rfloor + b \lfloor x \rfloor + c = 0$

Published on 12 Jan 2021 - 1:57

score 3.6k · Answer 9 · 2026-03-27 15:16:27

3.6k

Views

Ceiling function on TI-84 Plus

Published on 27 Mar 2026 - 15:16

score 161 · Answer 10 · 2021-01-16 23:21:17

161

Views

Solving an equation that contain floor function

Published on 16 Jan 2021 - 23:21

score 249 · Answer 11 · 2021-01-17 02:04:45

249

Views

Concrete Mathematics Exercise 3.22 Solution Explanations

Published on 17 Jan 2021 - 2:04

score 746 · Answer 12 · 2021-01-17 17:34:26

746

Views

Show that $\left\lceil x-\frac{1}{2} \right\rceil$ is the closest integer to the number $x$

Published on 17 Jan 2021 - 17:34

score 90 · Answer 13 · 2021-01-18 12:56:40

90

Views

Show that $\left\lfloor \sqrt{x} \right\rfloor$ is $n$

Published on 18 Jan 2021 - 12:56

score 61 · Answer 14 · 2021-01-18 18:20:41

61

Views

Help with finding the equation of a summation

Published on 18 Jan 2021 - 18:20

score 68 · Answer 15 · 2021-01-21 22:07:15

68

Views

Integer Part Equations...again

Published on 21 Jan 2021 - 22:07

List Question

Solve, $[3x + 1] = 2x - \frac{1}{2}$ , and find the sum of all roots.

Find the number of positive integers $n < 2007$ such that $\Big[\frac{n}{2}\Big]$ + $\Big[\frac{n}{3}\Big]$ + $\Big[\frac{n}{6}\Big] = n$ .

Find the number of real values of $x$ such that $x^2 + 10000[x] = 10000x$ ($[]$ is the floor function)

Find the value of :- $2010 - \sum_{k=1}^{2010}\bigg\lceil\frac{2010}{k} - \bigg\lfloor \frac{2010}{k}\bigg \rfloor\bigg\rceil $

We have an integer n. We have n boxes where each box contains a non-negative amount of balls. Find all the permutations which satisfy some criteria

Alternative to Ceiling Function for Simple Sequence

Sum of two floors is equal

The floored quadratic equation $a \lfloor x^2 \rfloor + b \lfloor x \rfloor + c = 0$

Ceiling function on TI-84 Plus

Solving an equation that contain floor function

Concrete Mathematics Exercise 3.22 Solution Explanations

Show that $\left\lceil x-\frac{1}{2} \right\rceil$ is the closest integer to the number $x$

Show that $\left\lfloor \sqrt{x} \right\rfloor$ is $n$

Help with finding the equation of a summation

Integer Part Equations...again

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