Polynomials. Question from RD Sharma

Asked by AkshayPathak12 | 14th Apr, 2010, 01:10: PM

Expert Answer:

x2 + px + 45 = 0

If α and β are zeros, then

x2 - (α + β)x  + αβ = 0

Comparing we read,

α + β = -p and αβ = 45.

Now,

(α - β)2 = 144              ... given

(α + β)2 - 4αβ = 144

p2 - (4)(45) = 144

p2  = 324

p = ±18

Regards,

Team,

TopperLearning.

 

           

Answered by  | 14th Apr, 2010, 04:15: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.