Question

Jika 2013 = p⁴q³+pq+r, mama nilai dari p+q+r= ...

Answer 1

Manipulasi nilai dengan mempartisinya untuk mempermudah perhitungan.

2013 = 2000 + 10 + 3

2000 + 10 + 3 = p⁴q³ + pq + r

p⁴q³ = 2000
pq = 10
r = 3

p⁴q³ = (pq)³p
= (10)³p
= 1000p

1000p = 2000
p = 2000/1000
p = 2

pq = 10
2q = 10
q = 10/2
q = 5

sehingga :

p = 2
q = 5
r = 3

p + q + r = 2 + 5 + 3
= 10