Question

X(i +2) - 5x(i +1)-6x(i) =0

Answer 1

Ответ:

-3x-10ix

Пошаговое объяснение:

Хi+2x-5xi-5x1-6xi = i•x+2•x-5•i•x-5•x-6•i•x

(находим подобные)

2x-5x-5ix-6ix+ix= -3x-10ix

Answer 2

The equation you've given appears to be a difference equation, which is a mathematical expression involving a sequence of values. In this equation, it seems that you are defining a sequence {x(i)} where i is an integer, and the equation relates the values of the sequence at three consecutive indices: x(i), x(i+1), and x(i+2).

The equation you provided is:

x(i + 2) - 5x(i + 1) - 6x(i) = 0

This equation can be rewritten as a recurrence relation, which relates each term in the sequence to the previous two terms:

x(i + 2) = 5x(i + 1) + 6x(i)

This equation describes how the value at index i + 2 is determined by the values at indices i and i + 1.

To solve this difference equation or find a particular sequence that satisfies it, you would typically need initial conditions. That is, you would need to know the values of x(0) and x(1) (or any other two consecutive values) to determine the entire sequence.

Without specific initial conditions, this equation represents a general recurrence relation for the sequence x(i), but you would need more information to find a unique solution.