Quiz (+50): 6 + a = b 16 ÷ a = b a³ + b³ = …..

Jawaban:

6 + a = b

a – b = -6 .. (1)

16 / a = b

ab = 16 .. (2)

…

a – b = -6

a = b – 6

substitusi ke persamaan (2)

ab = 16

(b – 6)b = 16

b^2 – 6b – 16 = 0

(b – 8)(b + 2) = 0

b^1 = 8 dan b^2 = -2

..

ambil yang positif (+) b^1 = 8 substitusi ke persamaan (1)

6 + a = b

6 + a = 8

a = 8 – 6

a = 2

..

HP = { 2 , 8 }

maka,

= a^3 + b^3

= 2^3 + 8^3

= 8 + 512

= 520

Penjelasan dengan langkah-langkah:

6 + a = b

16 ÷ a = b

misal; a = 2

—

6 + a = b

6 + 2 = 8

—

16 ÷ a = b

16 ÷ 2 = 8

a³ + b³

= 2³ + 8³

= (2.2.2) + (8.8.8)

= 8 + 512

= 520

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