QuizMath Dianjurkan dijawab oleh siswa/i tingkat smp , dilarang spam, tanpa cara, dan asal pilih pilihan ganda Kategori Hard Semoga berhasil - M Soal ke 6 Mater

ax³+by³ = 16
(x+y)(ax²+by²) -bxy² - ayx² = 16
(x+y)(7) -xy(by + ax) = 16
(x+y)(7) -xy(3) = 16
7x+7y -3xy = 16.....(1

ax⁴+by⁴ = 42
(x+y)(ax³+by³) - bxy³ - ayx³ = 42
(x+y)(16) -xy(by²+ax²) = 42
16x+16y -xy(7) = 42
16x+16y-7xy = 42....(2

misal :
(x+y) = m
xy = n

16m -7n = 42
7m -3n = 16
gunakan eliminasi

16m -7n = 42
49/3m - 7n = 48/3
---------------------- -
-m/3 = 14/3
m = -14
n = -114/3

= ax^5 + by^5
= (x+y)(ax4+by⁴)-bxy⁴-ayx⁴
= (x+y)(42)-xy(by³+ax³)
= (x+y)(42)-xy(16)
= 42(-14) -16(-114/3)
= 608 - 588
= 20 #D