Challenge Accepted: Can You Solve This Simple Factorial Equation?

Challenge Accepted: Can You Solve This Simple Factorial Equation?

Challenge Accepted: Can You Solve This Simple Factorial Equation? 🧠 Test your math skills with this mind-boggling factorial equation puzzle! 🎯 In this fun and engaging math challenge, we'll explore the world of factorials and put your arithmetic prowess to the test. 📏📚 Watch closely, pause if you need to, and give it your best shot! Let's see who can crack this simple yet tricky equation! 🏆 Don't forget to comment with your solution and challenge your friends to join in on the fun! Happy math-solving! 🤓

Topics covered:

Algebra Challenge
Factorial equations
Recursive formula
An algebraic challenge
Algebraic identities
Algebraic manipulations
Solving Quadratic equations
Math Olympiad preparation
Competitive Exams
Olympiad Mathematics
Tricky Factorial equations
Factorials Notation
Factorial
Quadratic equations
Quadratic formula
Real solutions
Surds
Whole numbers
Integers

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8 Key moments of this video:
0:00 Introduction
0:40 Domain
1:22 Factorial recursive formula
2:01 Algebraic manipulation
4:52 Quadratic equation
5:10 Quadratic formula
6:35 Solving for x
8:20 Factorials 14, 15 & 16

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Thanks for Watching!
@infyGyan ​

[perpetualrabbit]

Bring (x+9)! to the left and make denomitators same:
((x+8)(x+9)! + (x+9)!)/(x+8)! = 256
Then dividing out the factorials gives:
(x+8)(x+9) + (x+9) = 256
take out common factor:
(x+9)(x+8 + 1) = 256
so:
(x+9)² =256
so x+9 = +- 16, so x=7 or x=-25.
Done and done in under 30 seconds.