Here is code where you can seek equation to determine fyt (command$):

 

 

4 gh = 1056: fyt = VAL(COMMAND$)

5 ON ERROR GOTO 6000

10 CLS

12 IF gh <> 1056 THEN PRINT "NOT SUCCESSFUL": END ELSE GOSUB 7000

IF PW <> VAL(COMMAND$) THEN 5000 ELSE PRINT "SUCCESSFUL": END

5000 PRINT "NOT SUCCESSFUL": END

6000 PRINT "ERROR": END

7000 PW1 = 120900!: : FYT2 = INT(SQR(fyt))

7020 PW2 = 83 - FYT2

PW = PW1 + PW2

7030 RETURN

y = x + root x 



120983 = x + sqrt(x)





let x = z^2 



so 



y = z^2 + z



z^2 +z -120983 = 0



solving this quadratic equation 



ax^2 + bx +c = 0 



where a= 1, b= 1, c= -120983 



you get 347.326465353055  and -348.326465353055 as roots

 

ie 

z = sqrt(x) = 347.326465353055



z^2 = x = 120635.673534646915325797833025



so y = x + sqrt(x) = 120982.999999999970325797833025 ~ = 120983



so since we are considering the integer part of sqrt 



we should roundup 120635,67#### 

to 120636 which is your pw