A system of linear equations that represents a physical problem is said to be in a critical condition when a parameter exists that makes the system singular, i.e., the determinant of the matrix equal zero.

Consider the matrix A with x the parameter.

A=[2,8,5;2,2,8*x;6*x.^2,4*x+2,x.^3]

Write an algorithm to find the value of x such that the determinant of A is zero.

The algorithm should be written as a function in MATLAB.