find the value of X in the following:
The number 362 in decimal system is given by (1362)x in the X system of numbers. a}5 b) 6 c) 7 d) 8 e) 9

• b) 6
  
  (1362)x = x^3+3x^2+6x+2=362
  x*(x^2+3x+2)=360
  
  which satisfies for x=6
• 12 years agoHelpfull: Yes(6) No(2)
• ans=6.
  (1362)to base x = (362) to base 10
  so
  1*x^3 + 3 * x^2 + 6 * x^1 + 2*x^0 = 362
  substitute x = 6;
  216 + 108 + 36 + 2 = 362.
  we'll get 362.
  
  Hence awnser is 6.
• 12 years agoHelpfull: Yes(2) No(0)
• is d question correct?
  as far as i know d number system with base 6 means(0,1,2,3,4,5)
  so d ans can't b 6.
  bcoz (1362) has 6 in it
• 11 years agoHelpfull: Yes(1) No(0)