The job is to "guess" the hidden parameters (weights) of A and B, in a simple linear function F(x, y) = Ax + By, where all the numbers are assumed to be integers. A and B are not given, but whether the result F(x[i], y[i]) is positive (>=0) or negative (<0), is given for a large number of sample points (x[1], y[1]), (x[2], y[2]), … The algorithm goes as follows:

(x[3], y[3]),(x[4], y[4]),(x[-3], y[-3]),(x[-5], y[-5]),(x[i=n], y[i=n])

Step-by-step explanation:

The algorithm follows the answer given above because all numbers are member of integers.

Integers are set of positive or negative whole numbers including zero.

In the answer given, the numbers in the algorithm also take some negative values, since the are integers.

In the function, F(x,y) = Ax + By. In F(x[i], y[i]), i = +1,-1, +2,-2,+3,-3,+4,-4,+5,-5,n, where n is any positive or negative whole number or zero(That is, Integers)

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.