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Polynomials. Question from RD Sharma

Asked by AkshayPathak12 14th April 2010, 1:10 PM
Answered by 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 Expert 14th April 2010, 4:15 PM
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