Soal OSN (7)

Jika P, Q dan R masing-masing adalah bilangan bulat positif yang memenuhi sistem persamaan berikut:

P x P = Q               Q – P = R                    dan     P + P = R

Carilah P + Q + R!

Penyelesain klik 

P x P = Q               Q – P = R                    dan     P + P = R, maka

Q – P = R

(P x P) – P = P + P

(P x P) – P = 2P

(P x P) = 3P

(P x P) – 3P = 0

P (P – 3) = 0

Karena P adalah bilangan bulat positif, maka P = 3 sehingga

Q = 3 x 3 = 9 dan R = 3 + 3 6

P + Q + R = 3 + 9 + 6 = 18

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s