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Grade 12Algebra

if the root of the equation x2-ax+b=0 differ by unity

  1. a2 is equal to
  2. 1+a2 is equal to
  3. if one of the root of the equation x2-ax+b=0 be twice the other then 2a2 is equal to
  4. if the sum of the root of the equation x2-ax+b=0 is equal to the sum of the square of their reciprocal then a2 is equal to

Profile image of jiya singh
15 Years agoGrade 12
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1 Answer

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear jiya,

Let p ad p+1 be the roots

p+p+1=a

P(P+1)=b

p=a-1/2

(a-1)/2(a-1/2+1)=b

a^2-1=4b

a^2=4b+1

a^2+1=4b+2

 

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Sagar Singh

B.Tech IIT Delhi

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