Question

Determina el valor de X
72 X ! +5(×+1)!=(×+2)!​

Answer 1

72x! + 5(x+1)! = (x+2)!​

72x! + 5(x+1)x! = (x+2)(x+1)x!

x! [72 + 5(x+1)] = (x+2)(x+1)x!

72 + 5(x+1) =  (x+2)(x+1)

72 + 5x + 5 = x² +3x + 2

77 + 5x = x² + 3x + 2

x² + 3x - 5x + 2 -77 = 0

x² - 2x - 75 = 0

Formula general

sale:

x₁ =  1 - 2√19

x₂ =  1 + 2√19

Eternamente axllxa