PERSAMAAN KUADRAT – MATEMATIKA SMA KELAS 10

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Oleh : Suryadi
Director of Education Apenso Indonesia

Soal:
Akar-akar persamaan 2x^2 + 2px – q^2 = 0 adalah p dan q, p – q = 6. Hitunglah nilai pq !

Penyelesaian:
2x^2 + 2px – q^2 = 0
p + q = – 2p/2
= – p
q = – p – p
= – 2p
p – q = 6
p – (- 2p) = 6
p + 2p = 6
3p = 6
p = 6/3
p = 2
p – q = 6
2 – q = 6
– q = 6 – 2
– q = 4
q = 4/-1
q = – 4

Jadi, pq = – q^2/2
pq = – (- 4)^2/2
pq = – 16/2
pq = – 8

🌸Selamat Belajar & Good Luck!😉