Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the number of non-zero integral solutions of the equation |1-i|^x=2^x

Q : 18     Find the number of non-zero integral solutions of the equation  \small |1-i|^x=2^x .

Answers (1)

best_answer

Given problem is 
\small |1-i|^x=2^x
Now,
( \sqrt{1^2+(-1)^2 })^x=2^x
( \sqrt{1+1 })^x=2^x
\left ( \sqrt{2 }\right )^x=2^x
2^{\frac{x}{2}}= 2^x
\frac{x}{2}=x
\frac{x}{2}=0
x = 0  is the only possible solution to the given problem

Therefore, there are  0 number of  non-zero integral solutions of the equation  \small |1-i|^x=2^x 

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question