0

Guest

Courses New

How to find this equation 2sin(Πx/2) = x^2+1/x^2 then the value of x-1/x

How to find this equation 2sin(Πx/2) = x^2+1/x^2 then the value of x-1/x

Question Image
Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Since the range of sine function is [-1,1]. Thus the range of LHS is [-2,2].And applying Arithmetic Mean => Geometric Mean. The range of RHS is from 2 to infinity.Thus the only solution of this equation is when LHS = RHS = 2.Solving LHS = 2, we get solution as x = 4n + 1 where n = 0,1,,2,3,4......but only n = 0 which gives x = 1 satisfies RHS also. Thus, the value of x - 1/x = 0.

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More