Out of group of goats,Two times the square root of the number of goats were kept in shade, 1/4 of the number were taken for grazing and 15 were sold, find the initial no. Of goats?

2 answers

N=2sqrtN +.25N+15

change variables to ease tension
x=sqrtN
.75x^2 -2x-15=0
Ahhhhah! a quadratic equation.

x= (2+-sqrt(4+4*3/4*15))/1.5

x=(2+-sqrt(49))/1.5
x=9/1.5=6
x^2=N=36
Thanks