0

Guest

Courses New

If "2+ squareroot (3)" is a root of the equation x^2 + px + q = 0 , then write the values of p and q . Please give detailed steps. Thanks in advance.

If "2+ squareroot (3)" is a root of the equation x^2 + px + q = 0 , then write the values of p and q .


Please give detailed steps.


Thanks in advance.

Grade:12

4 Answers

vikas askiitian expert
509 Points
13 years ago

let A,B are the roots of this equation then

A+B = -p      ,    AB = q

if one root is 2+31/2 then other can be 2-31/2 or 31/2-2

 case 1) (A,B) = (2+roo3 , 2-root3)                                 case2) (A,B) = (root3-2) , (root3+2)

          A+B = 4 = -P                                                                       A+B = 2root3 = -p

      AB = 4-3 = 1 = q                                                                      AB = -1   = q

now we have two odered pairs for (p,q)

p,q ={ (-4,1) , (-2root3,-1) }

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

Sum of the roots=-p

Product =q

Now one of the roots is given 2+root3

You can easily finc the value of p and q

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

aryan kashyap
34 Points
13 years ago

if p n q are real no.s then if 2+sqrt3 is root then 2-sqrt3 has to b d root as well.

thr4 p=-4    q=1

Sudheesh Singanamalla
114 Points
13 years ago

Thanks a lot guys ! :)

Think You Can Provide A Better Answer ?

Other Related Questions on Magical Mathematics[Interesting Approach]

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