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ashwinjohn3

  • 3 years ago

Ifp,q are rational and 2+\[\sqrt{3}\] is a root of x^2+px+q=0 then find the values of p and q.

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  1. cinar
    • 3 years ago
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    if 2+sqrt3 is a root then 2-sqrt3 is also root, so sum of roots is 4=-b/a

  2. cinar
    • 3 years ago
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    |dw:1336638007963:dw|

  3. apoorvk
    • 3 years ago
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    when roots are irrational, they occur as conjugate surds --> that means if one root of the quadratic is 2+sqrt3, the other would be 2-sqrt3. Hence, you can find out product of roots, which is 'q'. and sum of roots which is '-p'.

  4. cinar
    • 3 years ago
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    and multilpy root is 1= c/a=q

  5. cinar
    • 3 years ago
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    p=-4 q=1

  6. chemENGINEER
    • 3 years ago
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    |dw:1345961568952:dw|

  7. mukushla
    • 3 years ago
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    this question asked 3 months ago !!!!!

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