X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.
All the side measures of ΔDOG will have the same relationship to their corresponding ΔSLB measures that DO has to SL.
OG/LB = DO/SL
OG/4 = 5/3
OG = 20/3
DG/SB = DO/SL
DG/5 = 5/3
DG = 25/3
In summary,
OG = 20/3 = 6 2/3
DG = 25/3 = 8 1/3
The point (4,7) is the only one that can be plugged into the equation and work. in this case when 4 is plugged in as X & Y is plugged in at 7 we get that 7=7, which is a true statement.
34.4 ÷ 4 = 8.6, which 8.6 as a fraction is 43/5
