GIVEN:x4 + x-4 = 194Identity used:(a + b)2 = a2 + b2 + 2abCalculation:x4 + x-4 = 194Adding 2 on both sidesx4 + x-4 + 2 = 194 + 2⇒ (x2 + 1/x2)2 = 196 = 142⇒ x2 + 1/x2 = 14Again ADDING 2 on both sidesx2 + 1/x2 + 2 = 14 + 2⇒ (x + 1/x)2 = 16 = 42 ∴ x + 1/x is 4 "> GIVEN:x4 + x-4 = 194Identity used:(a + b)2 = a2 + b2 + 2abCalculation:x4 + x-4 = 194Adding 2 on both sidesx4 + x-4 + 2 = 194 + 2⇒ (x2 + 1/x2)2 = 196 = 142⇒ x2 + 1/x2 = 14Again ADDING 2 on both sidesx2 + 1/x2 + 2 = 14 + 2⇒ (x + 1/x)2 = 16 = 42 ∴ x + 1/x is 4 ">
Mobile Technologies Web Technologies Digital Marketing Creative Design Career Talk Medical General Tech Interviews Internet Of Things

Embark on a journey of knowledge! Take the quiz and earn valuable credits.

Take A Quiz

Challenge yourself and boost your learning! Start the quiz now to earn credits.

Take A Quiz

Unlock your potential! Begin the quiz, answer questions, and accumulate credits along the way.

Take A Quiz

Popular Categories

All
Interview Questions
Question Bank
Quantitative Aptitude
Engineering
Govt Exams
Digital Marketing
Management
Interviews

If x4 + x-4 = 194, x > 0, then the value of \(x+\dfrac{1}{x}\) is:

General Aptitude Algebra in General Aptitude 1 year ago

  9   0   0   0   0 tuteeHUB earn credit +10 pts
5 Star Rating 1 Rating
GIVEN:x4 + x-4 = 194Identity used:(a + b)2 = a2 + b2 + 2abCalculation:x4 + x-4 = 194Adding 2 on both sidesx4 + x-4 + 2 = 194 + 2⇒ (x2 + 1/x2)2 = 196 = 142⇒ x2 + 1/x2 = 14Again ADDING 2 on both sidesx2 + 1/x2 + 2 = 14 + 2⇒ (x + 1/x)2 = 16 = 42 ∴ x + 1/x is 4
Previous Next

User submissions are the sole responsibility of contributors, with TuteeHUB disclaiming liability for accuracy, copyrights, or consequences of use; content is for informational purposes only and not professional advice.

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.

tuteehub_quiz

Tuteehub forum answer Answers

Post Answer

No matter what stage you're at in your education or career, TuteeHub will help you reach the next level that you're aiming for. Simply,Choose a subject/topic and get started in self-paced practice sessions to improve your knowledge and scores.

Explore Other Libraries

Blogs Tutorials Question Bank Feeds Careernews