Question 80346
let h equal number in herd, then {{{(h/4)+2sqrt(h)+(3*5)=h}}} multiply by 4 and subtract (h+60) to get {{{8sqrt(h)=3h-60}}}


square both sides to get {{{64h=9h^2-360h+3600}}} .. subtract 64h to get {{{9h^2-424h+3600=0}}}


using quadratic formula {{{h=(424 +- sqrt(424^2-4*9*3600))/(2*9)}}} .. or {{{h=(424 +- 224)/18}}}


since no fractional camels, h=36