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.

							
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) }
						

							
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











































						

							
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