MAT-260831-08

 

6 × (14 − K) + 6 = 54
L = K + 4

Berapakah nilai dari:

K! + (−5!) − (−L)² = ...

 

6 × (14 − K) + 6 = 54

L = K + 4

K! + (−5!) − (−L)²

 

6 × (14 − K) + 6 = 54

84 − 6K + 6 = 54

90 − 6K = 54

−6K = 54 − 90

−6K = −36

K = (−36) ÷ (−6)

K = 6

 

L = K + 4

L = 6 + 4

L = 10

 

K! = 6!

6! = 6 × 5 × 4 × 3 × 2 × 1

6! = 30 × 4 × 3 × 2 × 1

6! = 120 × 3 × 2 × 1

6! = 360 × 2 × 1

6! = 720 × 1

K! = 720

 

5! = 5 × 4 × 3 × 2 × 1

5! = 20 × 3 × 2 × 1

5! = 60 × 2 × 1

5! = 120

−5! = −120

 

(−L)² = (−10)²

= (−10) × (−10)

= 100

 

K! + (−5!) − (−L)²

= 720 + (−120) − 100

= 720 − 120 − 100

 

= 600 − 100

= 500

∴ 500

Senin, 31 Agustus 2026 14:05 WIB

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