Move a2 to the left side of the equation so you have c2-a2. then divide by 2 to get b by itself. you are left with c2-a2 all over 2. the 2s will cancel and you'll be left with c-a=b
The discriminant of this equation is 49. The solutions for this equation are x=2 and x=-

I hope that helps.
Sandwiches = S
Water = W
S + W = 200
S +W -W = 200-W
S = 200-W
$3S + $0.75W = $318.75
$3(200-W) + $0.75W = $318.75
$600 - $3W + $0.75W = $318.75
$600 -$2.25W = $318.75
$600 - $600 - $2.25W = $318.75 - $600
- $2.25W = -$281.25
-$2.25W/-$2.25 = -$281.25/-$2.25
W = 125
S = 200-125
S = 75
Mikhael bought 75 sandwiches and 125 bottles of water
CHECK
$3S + $0.75W = $318.75
$3(75) + $0.75(125) = $318.75
$225 + $93.75 = $318.75
$318.75 = $318.75
In the second to last part, there should have been a 4 added to the right side instead of subtracted, making it x=5 and not x=-3
You put it in a little weird in that part too, watch out for that next time. The 4 that should've been in the second to last part looked like it was being multiplied by the x in the last part