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In this video, we determine the exact value of x²⁰⁰⁰ + 1/x²⁰⁰⁰ given that x + 1/x = (1 + √5)/2 by exploiting the golden ratio ...

In this video, we solve the exponential‑logarithmic equation e^(ln(2x+1)) = 5x by using the property that e^(ln(…) ) simplifies to its ...

In this comprehensive tutorial, we solve a sequence of challenging logarithmic equations (in increasing order of complexity) each ...

What if one beautiful equation brought together the most important numbers in math: π, e, i, 1, and 0? This is Euler's Identity; e^{iπ} ...

A few things to keep when dealing with Order of Operations. #mathematicaloperations #education #orderofoperations ...

In this video, we solve the quintic equation (x + 1)⁶ = x⁶ by introducing the substitution x = y – ½ to symmetrize the expression, ...

In this short and engaging math tutorial, we solve the equation log₂ₓ(216) = x by exploring properties of logarithms with variable ...

In this video, we solve the tricky system of radical equations: x + y = √(4z − 1), y + z = √(4x − 1), and z + x = √(4y − 1), using ...

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In this video, we explore how to calculate length using integration. This method is used to find the length of curves and is a key ...

In this comprehensive tutorial, arranged in ascending order of complexity, we solve a series of challenging exponential and ...

A demo of the Euclidean algorithm to find the greatest common divisor (gcd) of two numbers.

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This is a problem of simplifying basic expressions of trigonometry. Let's review the basics with me. If you find it interesting, please ...

In this calculus tutorial, we dive deep into the Chain Rule and learn how to apply it when taking derivatives of exponential and ...

Wanna Crush the OAR Math Test? Do THIS! 🔥 ✓ Step 1: Grind the Homework — Do the practice questions repeatedly until ...

Why do we have calculus? Well y=(y*x)/x is a pithy answer but it comes close to getting to the point. Integral structures, where the ...

This is a problem of simplifying basic expressions of trigonometry. Let's review the basics with me. If you find it interesting, please ...

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In this video, we explore the concept of Numerical Differentiation, an essential technique in numerical methods for approximating ...