reciprocal word problem

Question

2 more than 3 times the reciprocal of a number is 5/4 less than the number it = -3/4 and 4 but not sure how

Answer 1

2 + 3/x = x -5/4

8x +12 = 4x^2 -5x

4x^2 -13x -12 = 0

x = 13/8 + or - .125sqr(169 +192) = 13/8 + or - (sqr361)/8= 13/8 + or -19/8 = 32/8 or -6/8

= 4 or -3/4