User Sullo

4 votes

1 answer

361 views

Inequality in 4 variables Vasc's EV

asked Nov 24, 2019 at 19:27

4 votes

1 answer

74 views

Determine the Maximum Value

algebra-precalculus polynomials roots

asked Dec 11, 2019 at 10:41

3 votes

3 answers

74 views

If $\left(1+\sqrt2\right)^{2011}=a+b\sqrt{2}$, for integers $a$ and $b$, then what is $\left(1-\sqrt2\right)^{2010}$ expressed using $a$ and $b$?

algebra-precalculus

asked Dec 17, 2019 at 22:20

2 votes

2 answers

67 views

Combinatorial binomial

combinatorics binomial-theorem

asked Dec 12, 2019 at 14:46

2 votes

1 answer

88 views

Prove that $a + b \geq 4k$

number-theory inequality gcd-and-lcm

asked Dec 15, 2019 at 22:27

2 votes

1 answer

109 views

Find the total number of 7-digit

arithmetic binomial-theorem solution-verification

asked Dec 16, 2019 at 13:35

2 votes

1 answer

50 views

What is the value of $ g (x + f (y)) $?

functions proof-verification contest-math

asked Nov 24, 2019 at 22:40

2 votes

1 answer

226 views

Classic Complex Numbers - Given $z+\frac 1z=2\cos 3^\circ$, find least integer greater than $z^{2000}+\frac 1{z^{2000}}$

algebra-precalculus chebyshev-polynomials

asked Dec 4, 2019 at 19:21

2 votes

0 answers

94 views

Hacking the social [Combinatorics]

combinatorics contest-math

asked Nov 22, 2019 at 17:03

2 votes

1 answer

84 views

Prove that in any triangle

inequality triangles factoring symmetric-polynomials geometric-inequalities

asked Nov 26, 2019 at 20:22

1 vote

0 answers

62 views

Find all values of $x_0=a$

algebra-precalculus number-theory systems-of-equations contest-math

asked Nov 26, 2019 at 22:35

1 vote

1 answer

101 views

Combinatorial with point in the plane

combinatorics geometry combinatorial-geometry

asked Nov 29, 2019 at 16:04

1 vote

0 answers

30 views

An integer sequence problem Generalization

number-theory

asked Nov 22, 2019 at 17:57

1 vote

1 answer

74 views

Invariant to inversions 2

multivariable-calculus inequality symmetric-polynomials invariant-theory

asked Nov 23, 2019 at 10:14

1 vote

2 answers

140 views

Solve equation $(2+ \sqrt{5})^{\frac{x}{2}}+2 \cdot \left(\frac{7 - 3 \sqrt{5}}{2}\right)^{\frac{x}{4}}=5$

algebra-precalculus exponential-function

asked Dec 12, 2019 at 20:48

1 vote

0 answers

22 views

Pasture in the field [duplicate]

geometry euclidean-geometry solution-verification

asked Dec 14, 2019 at 13:34

1 vote

0 answers

76 views

Complex Number Module

algebra-precalculus complex-numbers solution-verification

asked Dec 14, 2019 at 19:26

1 vote

0 answers

57 views

Find all functions $ f: (0, \infty) \mapsto (0, \infty)$ [duplicate]

functions proof-verification functional-equations

asked Dec 11, 2019 at 21:34

1 vote

2 answers

66 views

Calculate the following determinant: [duplicate]

linear-algebra matrices

asked Dec 5, 2019 at 23:25

1 vote

1 answer

95 views

Determine the rightmost three digits

number-theory decimal-expansion euclidean-algorithm

asked Dec 8, 2019 at 16:38

1 vote

0 answers

86 views

ind min and max of $\sum_{1\leq i<j\leq n} (3 \min\{j-i,n+i-j\}-n)x_ix_j$

inequality

asked Dec 30, 2019 at 23:28

1 vote

1 answer

48 views

Isosceles trapezoid circunference

geometry euclidean-geometry solution-verification

asked Jan 5, 2020 at 22:33

1 vote

1 answer

47 views

Calculate $x$ [exponential equation]

algebra-precalculus

asked Jan 7, 2020 at 23:50

1 vote

0 answers

43 views

Pascal Triangle-like Sequence

geometry logic

asked Jan 11, 2020 at 15:24

1 vote

2 answers

68 views

Calculate $ f [f (x)] $

algebra-precalculus functions

asked Dec 15, 2019 at 20:56

0 votes

1 answer

42 views

Write, with four fours and mathematical signs, an expression that is equal to a given integer.

factorial

asked Sep 15, 2020 at 19:59

0 votes

1 answer

29 views

what is the percentage chance that I will invoke the spear every 5 strokes?

probability percentages

asked Dec 4, 2020 at 18:27

0 votes

2 answers

66 views

Calculate the diagonal of a cube

geometry solution-verification solid-geometry

asked Jan 11, 2020 at 18:22

0 votes

2 answers

85 views

Probability that parallel lines

probability geometry

asked Jan 7, 2020 at 13:28

0 votes

0 answers

27 views

Find the polynomials [duplicate]

calculus polynomials

asked Dec 10, 2019 at 1:30

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52 Questions

Inequality in 4 variables Vasc's EV

Determine the Maximum Value

If $\left(1+\sqrt2\right)^{2011}=a+b\sqrt{2}$, for integers $a$ and $b$, then what is $\left(1-\sqrt2\right)^{2010}$ expressed using $a$ and $b$?

Combinatorial binomial

Prove that $a + b \geq 4k$

Find the total number of 7-digit

What is the value of $ g (x + f (y)) $?

Classic Complex Numbers - Given $z+\frac 1z=2\cos 3^\circ$, find least integer greater than $z^{2000}+\frac 1{z^{2000}}$

Hacking the social [Combinatorics]

Prove that in any triangle

Find all values of $x_0=a$

Combinatorial with point in the plane

An integer sequence problem Generalization

Invariant to inversions 2

Solve equation $(2+ \sqrt{5})^{\frac{x}{2}}+2 \cdot \left(\frac{7 - 3 \sqrt{5}}{2}\right)^{\frac{x}{4}}=5$

Pasture in the field [duplicate]

Complex Number Module

Find all functions $ f: (0, \infty) \mapsto (0, \infty)$ [duplicate]

Calculate the following determinant: [duplicate]

Determine the rightmost three digits

ind min and max of $\sum_{1\leq i<j\leq n} (3 \min\{j-i,n+i-j\}-n)x_ix_j$

Isosceles trapezoid circunference

Calculate $x$ [exponential equation]

Pascal Triangle-like Sequence

Calculate $ f [f (x)] $

Write, with four fours and mathematical signs, an expression that is equal to a given integer.

what is the percentage chance that I will invoke the spear every 5 strokes?

Calculate the diagonal of a cube

Probability that parallel lines

Find the polynomials [duplicate]