Question

if p=2+√5 and q=2-√5 find p+q ; p-q ; p^2+q^2​

Answer 1

Answer:

322

Step-by-step explanation:

p2+q2

We know that (p+q)2=p2+q2+2pq

So,

p2+q2=(p+q)2–2pq

pq=[(2−5)/(2+5)]×[(2+5)/(2−5)]

=1

p+q=−18

so,

p2+q2=(p+q)2–2pq

=(−18)2–2(1)

=324–2

=322