Solve for x: (x³ - 6x² + 11x - 6) / (x - 1) = 0

Find the roots of the equation: 2x⁴ - 5x³ - 14x² + 5x + 12 = 0

A rectangular garden has a perimeter of 40 meters. If its area is 96 square meters, find the dimensions of the garden.

Solve the system of equations: x + y + z = 6 x² + y² + z² = 14 xy = 2

A parabola has its vertex at (2, -1) and passes through the point (4, 3). Find the equation of the parabola in the form y = ax² + bx + c.