Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Give answer! - Complex numbers and quadratic equations - JEE Main-7

The sum of all the real values of x satisfying the equation \small 2^{(x-1)(x^{2}+5x-50)} =1 is :

  • Option 1)

    16

  • Option 2)

    14

  • Option 3)

    - 4

  • Option 4)

    - 5

 

Answers (2)

best_answer

As we have learned

Roots of Quadratic Equation with real Coefficients -

\alpha ,\beta are roots if

ax^{2}+bx+c= 0

is satisfied by x= \alpha ,\beta

 

- wherein

\alpha ,\beta\in C

a,b,c\in R

 

 

 We have ,. 

(x-1) (x^2+5x-50)= hg_{2}^{1}= 0

\Rightarrow x = 1 ,

x^2+5x-50= 0

  \Rightarrow x = 1 ,

(x+10)(x-5)=0

\Rightarrow x= 1 ,5,-10

Sum = -4 

 

 

 

 


Option 1)

16

Option 2)

14

Option 3)

- 4

Option 4)

- 5

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 session 2 application correction begins on jeemain.nta.nic.in; edit details by tomorrow
anam-khan

JEE Main 2026 Registration LIVE: Session 2 exam from April 2 to 9; shift timings, admit card, exam pattern
anam-khan

JEE Main 2026 session 2 registration ends today for BTech, BArch; apply at jeemain.nta.nic.in

Latest Question