[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of ( [x]cube) and ({x} square) is -7.19 . Find x
(A)-2.03
(B)-1.97
(C)-2.97
(D)-1.7

• he following is what I think when I see this question:
  The sum is -7.91. The negative sign makes me think that x is negative (and the options too).
  [x]^3 has to an integer and negative. {x}^2 will be a small positive fractional value. The closest perfect cube integer to -7.91 is -8. [x]^3 must be -8 so [x] must be -2.
  Then {x}^2 must be .09 giving {x} as .3 (Note here that {x} is always positive since [x] is less than or equal to x. So {x} is always the leftover positive fractional part)
  
  Hence x = [x]+ {x} = -2 + .3 = -1.7
• 7 years agoHelpfull: Yes(1) No(0)