Question

x-4/4+3x2=5-x-2/4 It is a sum of EQUATIONS IN ONE VARIABLE & IDENTITIES.

Answer 1

This can be read in several different ways. Here's what I think it is:

(x-4)/4 + 3x²=5 - (x-2)/4,

x-4+12x²=20-x+2 after multiplying through by 4,

12x²+2x-6-20=0,

12x²+2x-26=0,

6x²+x-13=0 after dividing through by 2,

6x²+x=13,

x²+x/6=13/6,

x²+x/6+(1/12)²=13/6+(1/12)² (completing the square),

(x+1/12)²=13/6+1/144=(312+1)/144,

x=-1/12±√313/12. So x=(√313-1)/12=1.39098 or -(√313+1)/12=-1.55765 approx.