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Forums
Mathematics
General Math
MHB Math Problem of the Week
Math POTW for Secondary and High School Students Forum
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MHB
Can You Solve This Complex Real Number System Equation?
May 9, 2016
Replies
1
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1K
MHB
Inequality Proof: x/sqrt(2y^2+5) + y/sqrt(2x^2+5) <= 2/sqrt(7)
May 3, 2016
Replies
1
Views
1K
MHB
Can You Prove $\sin(2^{25})^\circ = -\cos(2^\circ)$?
Apr 25, 2016
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1
Views
1K
MHB
Can You Prove This Integer Property in Real Numbers?
Apr 18, 2016
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1
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1K
MHB
Prove |a1+2a2+...+nan|≤1 for P(x) with |P(x)|≤|sinx|
Apr 12, 2016
Replies
1
Views
1K
MHB
Triangle Point Conjecture: Proving $\angle BPC+\angle BAC=180^\circ$ | POTW #209
Apr 5, 2016
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1
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1K
MHB
Prove: If an Integer is a Sum of Squares, its Square is Also a Sum of Squares
Mar 29, 2016
Replies
1
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1K
MHB
Solution to POTW #207: Evaluate x^{16}-987x for \sqrt{2}<x<\sqrt{3}
Mar 21, 2016
Replies
1
Views
1K
MHB
What is the limit of (1 + tanx)/(1 + sinx)^(1/x^2) as x approaches 0?
Mar 14, 2016
Replies
1
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1K
MHB
Can You Find the Real Solutions to This Complex Equation?
Mar 7, 2016
Replies
1
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1K
MHB
What is the radius of the circumcircle for cyclic pentagon $PQRST$?
Feb 29, 2016
Replies
1
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2K
MHB
How Do You Calculate the Sum of Squared Sines in Sequence?
Feb 22, 2016
Replies
1
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1K
MHB
How Do You Solve the System Involving $a$ and $b$ in POTW #202?
Feb 15, 2016
Replies
1
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1K
MHB
What is the numerical value of this tricky equation?
Feb 10, 2016
Replies
1
Views
1K
MHB
How Many Ways to Color a 2x2016 Grid Using 3 Colors with Adjacency Restrictions?
Feb 1, 2016
Replies
1
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1K
MHB
Maximizing Real Roots: Find Biggest Possible Value of a | POTW #199
Jan 25, 2016
Replies
1
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1K
MHB
Can You Tackle Our Latest Math Challenge on Limits?
Jan 18, 2016
Replies
1
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1K
MHB
Circle Chord Midpoint Intersection: Length Comparison of RS and PM
Jan 11, 2016
Replies
1
Views
2K
MHB
How Can You Maximize the Product of Two Numbers with 100 Good Numbers?
Jan 5, 2016
Replies
1
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1K
MHB
How Can You Minimize the Expression Involving Absolute Values?
Dec 29, 2015
Replies
1
Views
1K
MHB
Polynomial Problem of the Week #194: Find $f(2008)$ for a Degree 2008 Polynomial
Dec 22, 2015
Replies
1
Views
1K
MHB
What Is the Sum of the Absolute Values of a and b in This Algebraic Puzzle?
Dec 15, 2015
Replies
1
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2K
MHB
Can You Tackle This Infinite Nested Radical Equation?
Dec 7, 2015
Replies
1
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2K
MHB
Optimizing Angle PXQ with Point Q at (3,8) and Point P at (0,4)
Nov 30, 2015
Replies
1
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1K
MHB
What Integral Values Satisfy This Radical Equation?
Nov 23, 2015
Replies
1
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1K
MHB
Can Jessica Ensure Divisibility by x^2+1 in the Polynomial Game?
Nov 16, 2015
Replies
1
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1K
MHB
Can Nigel or Jessica Ensure Divisibility of a Polynomial by \(x-2012\)?
Nov 9, 2015
Replies
1
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2K
MHB
Can You Factorize This Complex Algebraic Expression?
Nov 2, 2015
Replies
1
Views
1K
MHB
How Can the Product of Factorials from 1 to 15 Be Expressed as \(A^2B!\)?
Oct 28, 2015
Replies
1
Views
1K
MHB
Can You Solve This Quartic Equation with Roots Involving Square-Free Integers?
Oct 19, 2015
Replies
1
Views
1K
MHB
Can you prove this fractional equality?
Oct 12, 2015
Replies
1
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1K
MHB
How Do You Solve $\cot x \cdot \cot(x+y)$ Given $\cos y = 17\cos(2x+y)$?
Oct 5, 2015
Replies
1
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1K
MHB
Can You Crack the Trigonometric Integration Challenge?
Sep 30, 2015
Replies
1
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2K
MHB
How Does a Double Root Lead to the Equation $108a^5=-3125b^3$?
Sep 21, 2015
Replies
1
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1K
MHB
Unit Circle Chord Probability: POTW #180 Sept. 7, 2015
Sep 14, 2015
Replies
1
Views
1K
MHB
How Do You Calculate the Floor of 2√xn for the Given Sequence?
Sep 7, 2015
Replies
1
Views
1K
MHB
How to Evaluate √1061520150601 Without a Calculator?
Aug 31, 2015
Replies
1
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2K
MHB
How Do You Calculate $ab+bc+ca$ Using Trigonometric Identities?
Aug 25, 2015
Replies
1
Views
1K
MHB
How Do You Evaluate the Sum of Reciprocal Factorial Pairs?
Aug 18, 2015
Replies
1
Views
1K
MHB
Can You Solve This Intriguing Real Numbers Equation?
Aug 11, 2015
Replies
1
Views
1K
MHB
Do $x, y, z$ Meet the Triangle Inequality Conditions?
Aug 4, 2015
Replies
1
Views
1K
MHB
What Are All the Real Solutions to the Equation \(a^4+b^4+c^4+1=4abc\)?
Jul 28, 2015
Replies
1
Views
1K
MHB
Can $\sqrt{k-1} + \sqrt{k+1}$ Be a Rational Number for Any Integer k?
Jul 21, 2015
Replies
1
Views
1K
MHB
How Do You Maximize This Complex Expression With Given Constraints?
Jul 14, 2015
Replies
1
Views
1K
MHB
How Do You Find the Coefficient \( a_2 \) in a Polynomial Transformation?
Jul 7, 2015
Replies
2
Views
2K
MHB
Real Numbers Inequality Proof: x+y+z > (|x|+|y|+|z|)/3
Jun 30, 2015
Replies
1
Views
1K
MHB
How Do You Solve Complex Root Expressions in Polynomial Equations?
Jun 23, 2015
Replies
1
Views
1K
MHB
Prove One Root in Interval (0,1) for Equation with Real Numbers
Jun 15, 2015
Replies
1
Views
1K
MHB
Smallest N for Ensuring 3 Colors in 100 Marble Draw
Jun 8, 2015
Replies
1
Views
1K
MHB
Real Number Problem: Evaluate xyz with Given Equations
Jun 1, 2015
Replies
1
Views
1K
MHB
Can You Solve the Equation with Logs: $\log_2 (\cos x)=2\log_3 (\cot x)$?
May 25, 2015
Replies
1
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1K
MHB
What is the Range of x for $|x|^{x^2-3x-4}<1$?
May 18, 2015
Replies
1
Views
1K
MHB
Find the $2015$th Term in Sequence $1,2,-2,3,-3,3,4,-4,4,-4,5,-5,5,-5,5\cdots$
May 11, 2015
Replies
1
Views
1K
MHB
How to Evaluate Trigonometric Cosine Sums Manually?
May 4, 2015
Replies
1
Views
1K
MHB
Which values of $a$ satisfy a trigonometric equation in a given interval?
Apr 28, 2015
Replies
1
Views
1K
MHB
Can You Prove This Inequality Involving Fractions and Square Roots?
Apr 21, 2015
Replies
1
Views
1K
MHB
Prove $X\ge 0$ and Find Smallest Positive $X$ | POTW #158 April 8, 2015
Apr 13, 2015
Replies
1
Views
1K
MHB
What Is the Maximum Value of P(x) in the Sequence?
Apr 7, 2015
Replies
1
Views
1K
MHB
Finding the Least Possible Value of $a$ for a Perfectly Balanced School Club
Mar 30, 2015
Replies
1
Views
1K
MHB
How many digits are after the decimal in $\dfrac{12345678910}{2^{36}\cdot 5^6}$?
Mar 22, 2015
Replies
1
Views
1K
MHB
How Can You Prove BC^2 Equals BK Times BQ in Equilateral Triangles?
Mar 17, 2015
Replies
2
Views
2K
MHB
What is the Sum of Series: Problem of the Week #153 (March 2nd, 2015)?
Mar 8, 2015
Replies
1
Views
1K
MHB
How Do You Solve This Trigonometric Equation Involving Multiple Cosine Terms?
Mar 1, 2015
Replies
1
Views
1K
MHB
What is the largest real number M satisfying a specific inequality?
Feb 22, 2015
Replies
1
Views
1K
MHB
How to Solve a Challenging Integration Problem
Feb 16, 2015
Replies
1
Views
1K
MHB
Can a Polynomial Equation Have Roots in Arithmetic Progression?
Feb 8, 2015
Replies
1
Views
1K
MHB
How Are Triangle Altitudes and Inscribed Circle Radius Related?
Feb 1, 2015
Replies
1
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1K
MHB
How many students can be given the set of unique exam problems?
Jan 25, 2015
Replies
1
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1K
MHB
What Happens to the Limit of a Function as x Approaches Zero?
Jan 23, 2015
Replies
2
Views
2K
MHB
What is the ordered pair (x,y) for the given equation?
Jan 11, 2015
Replies
2
Views
2K
MHB
How do I solve the equation involving logarithms and exponents for x?
Jan 5, 2015
Replies
1
Views
1K
MHB
What Is the Maximum Value of P(x) on the Interval Where x⁴-13x²+36≤0?
Dec 28, 2014
Replies
1
Views
1K
MHB
Solve Integral of ln(sin x) from 0 to pi.
Dec 21, 2014
Replies
1
Views
1K
MHB
What is the Sum of Cosine Products in POTW #141?
Dec 15, 2014
Replies
1
Views
1K
MHB
Finding the Coefficient for $a^4$ in a Series with Variable Exponents
Dec 8, 2014
Replies
1
Views
1K
MHB
Is $x$ a perfect square?
Nov 30, 2014
Replies
1
Views
2K
MHB
How Many Pairing Options Exist at a Party with 2n People?
Nov 23, 2014
Replies
1
Views
1K
MHB
Can a Triangle with Area 1 Have a Side Less Than √2?
Nov 16, 2014
Replies
1
Views
2K
MHB
Are All Numbers in This Mathematical Sequence Exact Cubes?
Nov 10, 2014
Replies
1
Views
1K
MHB
Prove No Solution for Equation $y^3=1+2^{2^x}$ in Natural Numbers
Nov 2, 2014
Replies
1
Views
1K
MHB
What is the maximum value of ac in the given equations?
Oct 26, 2014
Replies
1
Views
1K
MHB
Is the median speed on this highway different from 55 mph?
Oct 19, 2014
Replies
1
Views
1K
MHB
How Many Integer Values Can QR Take in Triangle PQR with Equal Area Divisions?
Oct 13, 2014
Replies
1
Views
1K
MHB
Evaluating a Complex Expression with Given Value
Oct 6, 2014
Replies
1
Views
1K
MHB
Are All Zeros of This Polynomial Real?
Sep 28, 2014
Replies
1
Views
1K
MHB
How Do You Calculate the Integral of 1/Floor(x^2) from 1 to 2?
Sep 21, 2014
Replies
1
Views
1K
MHB
What Is the Value of $2^Y$ for Y in Problem of the Week #128?
Sep 15, 2014
Replies
1
Views
1K
MHB
What are the indefinite integrals of cos x and sin x over cos x plus sin x?
Sep 7, 2014
Replies
1
Views
1K
MHB
What Is the Probability That a Chord on a Unit Circle Is At Least 1 Unit Long?
Aug 31, 2014
Replies
1
Views
1K
MHB
Can you prove this trigonometric identity?
Aug 24, 2014
Replies
1
Views
1K
MHB
Can You Solve This Complex Mathematical Expression Without a Calculator?
Aug 17, 2014
Replies
1
Views
1K
MHB
What is the sum of coefficients in a polynomial expansion?
Aug 11, 2014
Replies
1
Views
1K
MHB
Can You Solve the Triple Integers System from POTW #122?
Aug 3, 2014
Replies
1
Views
1K
MHB
Triangle Side and Angle Relationship Problem #121 - July 21st, 2014
Jul 27, 2014
Replies
2
Views
1K
MHB
How to Find the Value of \( a \) for Evenly Spaced Roots in an Equation?
Jul 20, 2014
Replies
1
Views
1K
MHB
Limit of √(x+√(x+√x))-√x as x approaches infinity
Jul 13, 2014
Replies
1
Views
1K
MHB
Coin Toss Probability: Comparing $P_n$ and $P_{2n}$ for $2n$ and $4n$ Tosses
Jul 6, 2014
Replies
1
Views
1K
MHB
Is $X^2$ Equal to or Greater than 0.04?
Jun 29, 2014
Replies
1
Views
1K
MHB
What is the Probability That Adam Answers Correctly?
Jun 22, 2014
Replies
1
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1K
MHB
Real Solutions for Inequalities: Week #115 - June 9th, 2014
Jun 15, 2014
Replies
1
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1K
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MHB Math Problem of the Week
POTW High School
Welcome to the High School POTW forum!
Math problems will be posted each week on Monday, most likely early in the morning (1am, 2am, etc.) Eastern Standard Time. There will be one math problem each week at the advanced high school student or secondary level.
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