Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Need explanation for: - Complex numbers and quadratic equations - JEE Main-3

If a\, \epsilon \, I then roots of equation x^{2}-x-\left ( a+a^{2} \right )= 0 are

  • Option 1)

    Both integers

  • Option 2)

    Both non-integers

  • Option 3)

    Both irrationals

  • Option 4)

    one integer and one non-integer

 

Answers (1)

\because a=1,\; b=-1,\; c=-\left ( a+a^{2} \right )

Then it latistion a=1\; and\; b,c\: \epsilon \: J , if D ia a perfect square, roots will be integer. Now, 

D=1+4a^{2}=\left ( 2a+1 \right )^{2}

\therefore roots will be integers.

 

Condition for Integer roots of Quadratic Equation -

a=1;b,c\in I

- wherein

ax^{2}+bx+c=0

is the quadratic equation

 

 


Option 1)

Both integers

This is correct

Option 2)

Both non-integers

This is incorrect

Option 3)

Both irrationals

This is incorrect

Option 4)

one integer and one non-integer

This is incorrect

Posted by

Vakul

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 2024 session 2 final answer key soon at jeemain.nta.ac.in; result on April 25
anam-khan

JEE Main 2024 Session 2: Last day to challenge answer key today
anam-khan

BTech admission 2024 without JEE; top government engineering colleges, upcoming entrance exams

Latest Question