Jika diketahui m + n = 3 dan m kuadrat + n kuadrat = 5 , berapakah m pangkat 4 + n pangkat 4 ?

Diketahui:
m + n = 3
m^2 + n^2 = 5

Ditanya:
m^(4+n^4)?

Jawab:
m + n = 3 ←→ m = 3 – n
m^2 + n^2 = 5 → (3 – n)^2 + n^2 = 5
= 9 – n^2 + n^2 = 5
= 9 – 2n^2 = 5
= 2n^2 = 4
= 2n = 2
= n = 1
m = 3 – (1)
= 2

3^(4+1^4) = 3^(4+1)
= 3^(5)
= 243

JAWABAN = 243