ЯсноПонятно24

This is a system of equations with three variables x, y, and z. To solve this system, we can start by simplifying the last equation:

√x + y − z + |x + 1| = 0

Since the square root and absolute value functions are not easily solvable algebraically, we can try to eliminate them by squaring both sides of the equation:

(x + y - z + |x + 1|)^2 = 0

Expanding the left side of the equation, we get:

x^2 + y^2 + z^2 + (x + 1)^2 + 2xy - 2xz + 2y(x + 1) - 2yz + 2z(x + 1) + 2|x + 1|(x + y - z) = 0

Simplifying further, we get:

x^2 + y^2 + z^2 + x^2 + 2x + 1 + 2xy - 2xz + 2y + 2z + 2|x + 1|(x + y - z) - 2yz = 0

2x^2 + 2xy + 2y + 2xz + 2z + 2|x + 1|(x + y - z) - 2yz = -1

At this point, we can substitute this equation back into the first two equations to solve for x, y, and z. However, the resulting system of equations will be quite complex and may not have simple solutions.