x^2 + cos x = 2024

This problem highlights the need to understand the properties of certain functions. The strategy for this seemingly impossible problem was to use the evenness of the function to solve it.

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Solving a cubic equation using Cardano's formula
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Solving a cubic equation using Cardano's formula

Find all positive integer n
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Find all positive integer n

What is e and ln(x)? (Euler's Number and The Natural Logarithm)
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What is e and ln(x)? (Euler's Number and The Natural Logarithm)

1995 British Mathematics Olympiad problem
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1995 British Mathematics Olympiad problem

Functional Equation
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Functional Equation

(n-1)!+1 = n^2
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(n-1)!+1 = n^2

Find C if f(f(x)) has 3 distinct real roots
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Find C if f(f(x)) has 3 distinct real roots

The Integral Explained Better Than School Ever Did
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The Integral Explained Better Than School Ever Did

Lambert W Function
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Lambert W Function

if x+y=8, find the max of x^y (Lambert W function)
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if x+y=8, find the max of x^y (Lambert W function)

A Functional Equation from Samara Math Olympiads
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A Functional Equation from Samara Math Olympiads

n^3 = (n+2)!!
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n^3 = (n+2)!!

I thought this was a nice limit (and I made it even better)
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I thought this was a nice limit (and I made it even better)

How to really solve sin(x^2)=sin(x)
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How to really solve sin(x^2)=sin(x)

ALL solutions to x^2=2^x
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ALL solutions to x^2=2^x

How to Take the Factorial of Any Number
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How to Take the Factorial of Any Number

We're 99.9% sure this pattern is true, but no one can prove it
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We're 99.9% sure this pattern is true, but no one can prove it

Floor equation
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Floor equation

A very indeterminate form limit: (infinity-infinity)^infinity
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A very indeterminate form limit: (infinity-infinity)^infinity

The Basel Problem
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The Basel Problem