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Simple proof for the Legendary Question 6. International Mathematical Olympiad (IMO) 1988

score 461 · Answer 1 · 2026-04-01 15:42:19

461

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Simple proof for the Legendary Question 6. International Mathematical Olympiad (IMO) 1988

Published on 01 Apr 2026 - 15:42

score 112 · Answer 2 · 2020-05-10 18:43:27

112

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If $\alpha, \beta$ are the roots of the equation $x^2-(p+1)x+1=0.$ show that $\alpha^n + \beta^n$ is not divisible by $p$ $(p \ge3)$

Published on 10 May 2020 - 18:43

score 60 · Answer 3 · 2026-04-03 00:15:18

60

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The "Slip and Slide" Factorisation Method

Published on 03 Apr 2026 - 0:15

score 106 · Answer 4 · 2020-05-13 07:54:18

106

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Do we include operators in front of the coefficient when applying algebraic formulas to equations

Published on 13 May 2020 - 7:54

score 21 · Answer 5 · 2020-05-13 16:30:03

21

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score 123 · Answer 6 · 2020-05-14 21:25:17

123

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score 319 · Answer 7 · 2020-05-16 02:52:34

319

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score 54 · Answer 8 · 2026-03-30 04:39:27

54

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How safe is to subtract or add equations in a system?

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score 36 · Answer 9 · 2020-05-17 19:43:24

36

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Finding coefficients of quadratic formula given certain properties

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score 84 · Answer 10 · 2020-05-20 19:49:27

84

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Finding the rule for a quadratic function with highest point $(6,30)$ and that passes through $(2, 28.4)$

Published on 20 May 2020 - 19:49

score 97 · Answer 11 · 2020-05-21 07:20:38

97

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Value of $c$ in $x^2-\sqrt2x+c=0$

Published on 21 May 2020 - 7:20

score 60 · Answer 12 · 2026-03-26 23:10:46

60

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If $N = y^2+1$ then the continued fraction of $\sqrt(N)$ has period 1.

Published on 26 Mar 2026 - 23:10

score 243 · Answer 13 · 2026-03-26 07:56:52

243

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solving quadratic equation in motion equations

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score 38 · Answer 14 · 2026-03-25 11:06:59

38

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The sum of all parameter values for which the graphs of the functions have exactly one common point is?

Published on 25 Mar 2026 - 11:06

score 95 · Answer 15 · 2026-03-30 05:30:35

95

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find integer solutions under square root

Published on 30 Mar 2026 - 5:30

List Question

Simple proof for the Legendary Question 6. International Mathematical Olympiad (IMO) 1988

If $\alpha, \beta$ are the roots of the equation $x^2-(p+1)x+1=0.$ show that $\alpha^n + \beta^n$ is not divisible by $p$ $(p \ge3)$

The "Slip and Slide" Factorisation Method

Do we include operators in front of the coefficient when applying algebraic formulas to equations

How to derive the condition? (I am not sure it is correct.)

Find the equation of a circle given two points and its radius - based on the coordinates of another circle

How can I simplify Po-Shen Loh's method of solving quadratics?

How safe is to subtract or add equations in a system?

Finding coefficients of quadratic formula given certain properties

Finding the rule for a quadratic function with highest point $(6,30)$ and that passes through $(2, 28.4)$

Value of $c$ in $x^2-\sqrt2x+c=0$

If $N = y^2+1$ then the continued fraction of $\sqrt(N)$ has period 1.

solving quadratic equation in motion equations

The sum of all parameter values for which the graphs of the functions have exactly one common point is?

find integer solutions under square root

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