## anonymous 4 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.

1. anonymous

if 2+sqrt3 is a root then 2-sqrt3 is also root, so sum of roots is 4=-b/a

2. anonymous

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3. 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'.

4. anonymous

and multilpy root is 1= c/a=q

5. anonymous

p=-4 q=1

6. anonymous

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7. anonymous

this question asked 3 months ago !!!!!