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The Tricky Algebra Problem Series

How To Really Solve This Tricky Algebra Problem? (V)

Published on June 16, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (V) - (x²/y²) + (y²/x²) = 287; [(x/y) + (y/x)]³ = ??; x not equal to zero; y not equal to zero
Welcome to the fifth entry in the tricky algebra problem series. This one is aimed at beginners. Can you solve this challenge in under one minute?
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How To Really Solve This Tricky Algebra Problem? (IV)

Published on June 6, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (IV) - An image showing the following equations on the left: x² + y² = 7 and x³ + y³ = 10. On the right, the following equation is written: x + y = ??. Below this equation, the following information is provided in a box: x,y ∈ ℝ.
Welcome to the fourth entry in the tricky algebra problem series. In this entry, you get to solve a fun and challenging math olympiad level algebra problem!
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How To Really Solve This Tricky Algebra Problem? (III)

Published on May 10, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (III) - x^y = y^x → x = ? and y = ? when x not equal to y and x,y ∈ ℝ
Welcome to the third entry in the tricky algebra problem series. To be fair, you will need a bit more knowledge than just algebra to solve this!
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How To Really Solve This Tricky Algebra Problem? (II)

Published on May 2, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (II) - (8^x - 2^x)/(6^x - 3^x) = 2; x = ??
When you take a look at this, it does not come across as a tricky algebra problem at all. But think again. This problem requires mathematical rigour.
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How To Really Solve This Tricky Algebra Problem?

Published on April 13, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? - An image showing the following equation on top: 10^x + 11^x + 12 ^x = 13^x + 14^x. Below this equation, the following question is raised: "x = ??"
On the surface, this does not look like a tricky algebra problem. However, it is an elusive problem. If you can analyse functions, it makes the job much easier!
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