A nice factorial equation: The math behind solving equations.

A nice factorial equation: The math behind solving equations.

In this captivating video, we will be solving a factorial equation and explore the mathematical principles that underpin the art of solving equations. Join us as we unravel the complexities of factorials and their role in solving a wide range of mathematical problems. From understanding the fundamental concepts to applying advanced techniques, we guide you step by step through the process of tackling these equations with ease and confidence. Whether you're a math enthusiast or simply curious about the magic of equations, this video is sure to ignite your passion for numbers and empower you with valuable problem-solving skills. Get ready to embark on an enlightening journey into the world of factorial equations and discover the beauty of math in action!

Topics covered:
Algebra
Factorial equations
Recursive formula
An algebraic challenge
Algebraic identities
Algebraic manipulations
Math Olympiad preparation
Competitive Exams
Olympiad Mathematics
Tricky Factorial equations
Factorials Notation
Factorial
Prime factors
Factorization
Integers
Whole numbers

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7 Key moments of this video:
0:00 Introduction
0:40 Factorials (Recursive formula)
1:03 Algebraic manipulations
1:33 Substitution
2:11 Algebraic identities
5:55 Solving inequality
10:05 Check Value

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@infyGyan ​

[roberttelarket]

Try n = 1, 2, 3, . . .
n ≠ 1, 2, 3.
4^3 - (10)4 = 24 = 4*3*2*1 = 4!
n = 4 is one solution.
n^3 < n! and certainly n^3 - 10n < n! for n > 4.
No other solutions!
Thanks for pointing out that.
n^3 > n! for n > 5 not 4.
Also 5^3 - 10(5) ≠ 5!