anonymous
  • anonymous
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.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
if 2+sqrt3 is a root then 2-sqrt3 is also root, so sum of roots is 4=-b/a
anonymous
  • anonymous
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apoorvk
  • apoorvk
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'.

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anonymous
  • anonymous
and multilpy root is 1= c/a=q
anonymous
  • anonymous
p=-4 q=1
anonymous
  • anonymous
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anonymous
  • anonymous
this question asked 3 months ago !!!!!

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