Question

Diketahui p=3-√5 dan q=3+√5 carilah!
a)2p+2q
b)2p-3q
c)4pq
d)p2+q2
e)p2-q2
f) (p+q)²
jelasin pengertian nya juga yahh!!

Answer 1

P+q = 3- √5 + 3+√5 = 6
pq = (3-√5)(3+√5) = 9-5= 4
p-q = 3-√5 - 3 - √5 = - 2√5

a)2p+2q = 2(p+q) = 2(6)= 12
b) 2p - 3q = 2(3-√5) - 3(2+√5) = -5√5
c) 4 pq = 4(4)= 16
d) p^2 +q^2 = (p+q)^2 - 2pq = (6^2) - 2(4)= 4
e) p^2 - q^2 = (p+q)(p-q) = 6( -2√5) = -12√5
f) (p+q)^2 = 6^2 = 12