An Intriguing Rational Equation Challenge You Can't Miss!

An Intriguing Rational Equation Challenge You Can't Miss!

Dive into the world of mathematical intrigue with our latest video – 'An Intriguing Rational Equation Challenge You Can't Miss!' 🌐🧮 Join us on this journey as we unravel the complexities of a fascinating rational equation. Are you up for the challenge? Sharpen your problem-solving skills and explore the beauty of mathematical puzzles. Don't miss out on this opportunity to stretch your mathematical muscles! 🤔💡 #MathChallenge #RationalEquation #ProblemSolving #MathEnigma #EquationChallenge #Mathematics #PuzzleSolving #CriticalThinking #ChallengeAccepted #MathAdventure #algebra #maths #math

Topics covered:
Algebra Challenge
Rational Equation
How to solve Rational Equations?
Math Olympiad
Geometric progression
Sum in geometric series
Algebra
Math Tricks
Algebraic identities
Algebraic manipulations
Real Solutions
Quadratic formula
Quadratic equations
Domain
Math Tutorial
Algebraic Challenging Equations
Math Olympiad Preparation

📚 Timestamps:
0:00 - Introduction
0:36 - Domain
2:14 - Geometric progression
4:10 - Algebraic manipulations
6:18 - Algebraic identities
9:33 - Quadratic equation
9:52 - Quadratic formula
10:24 - Real solutions

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🎓 Happy learning, and see you in the next video! 🎉

Thanks for Watching !!
@infyGyan

[pietergeerkens]

The numerator isn't cyclotomic because it is odd degree - so factor it directly as
(1 + x)(1 + x²)(1 + x⁴).
After a little algebra this just leaves the quadratic
x² + 3x + 1 = 0
and, after factoring again to recognize the golden ratio phi, a solution of
x = - { (1 ± √5) / 2]².

[SrisailamNavuluri]

x+1 is a factor of nr, dr.You can cancell.Now divide nr, dr with x3.Then solve for x+1/x then x

[ManjulaMathew-wbzn]

Just one correction Sir.
In your Geometric series summation you mentioned the modulus of common ratio x being less than 1. Then both the answers become invalid. However the condition IxI <1, apply only for a converging infinite series not here. So the two answers are fine. 😊

[PS-mhts]

For those who might want to check their answers: (-3±√5)/2