Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Solve each of the following equations: (9) x^2+x+ 1 / sqrt 2 = 0

Solve each of the following equations: 

Q : 9        x^2+x+\frac{1}{\sqrt{2}}=0

Answers (1)

best_answer

Given equation is
x^2+x+\frac{1}{\sqrt{2}}=0 
Now, we know that the roots of the quadratic equation is given by the formula
\frac{-b\pm \sqrt{b^2-4ac}}{2a}
In this case the value of a = 1 , b =1 \ and \ c= \frac{1}{\sqrt2}
Therefore,
\frac{-1\pm \sqrt{1^2-4.1.\frac{1}{\sqrt2}}}{2.1}= \frac{-1\pm\sqrt{1-2\sqrt2}}{2} = \frac{-1\pm\sqrt{-(2\sqrt2-1)}}{2}=\frac{-1\pm\sqrt{(2\sqrt2-1)}i}{2}
Therefore, the solutions of the equation are

   \frac{-1\pm\sqrt{(2\sqrt2-1)}i}{2}

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