X2 + y2 = 25x + 2y = 10tentukan himpunan penyelesaiannya

Jawab: hp = { ( 0, 5) , ( 4, 3 }

Penjelasan dengan langkah-langkah:

x = 10 – 2y

x² + y² = 25

(10 – 2y)² + y² = 25

100 – 40y + 4y² + y² – 25 = 0

5y² – 40y + 75 = 0

~~~~~~~~~“~~~~~~~ dibagi 5

y² – 8y + 15 = 0

(y – 5)(y – 3) = 0

y1 = 5

x = 10 – 2(5) = 0

y2 = 3

x = 10 – 2(3) = 4

hp = { ( 0, 5) , ( 4, 3 }