Factorials - Find x if 1/4! + 1/5! = x/6!
Question:
Find 'x' if 1/4! + 1/5! = x/6!
Solution:
x/6! = 1/4! + 1/5!
∴ x/6! = (6 x 5) / [(6 x 5) x 4!] + 6 / 6 x 5!
∴ x/6! = 30 / 6! + 6 / 6!
∴ x/6! = (30 + 6) / 6!
∴ x/6! = 36 / 6!
∴ x/ ̶6̶!̶ = 36 / ̶6̶!̶
∴ x = 36
Answer:
x = 36 if 1/4! + 1/5! = x/6!
Video Solution:
