Question

Sa se rezolve ecuatia : (atasament) . Multumesc mult !!!

Answer 1

x-1>=3 => x>=4.

6*(x-1)!/(x-4)!+(x+1)!/(x-2)!=114*(x-1)
<=> 6*(x-3)(x-2)(x-1)+(x-1)x(x+1)=114*(x-1)
<=> 6*(x-3)(x-2)+x(x+1)=114
<=> 7x^2-29x-78=0
delta=3025=55^2
x1,2=(29+-55)/14

Cum x>=4, obtinem ca x=(29+55)/14=84/14=6.