t= ((square root of x)/4) + (x/1100), t=14, solve for x

14 = √x /4 + x/1100

times 1100
15400 = 275√x + x
let √x = y , so

15400 = 275y + y^2
y^2 + 275y - 15400 = 0
y = 47.71946... or a negative

√x = 47.71946... or √x = a negative, which is no good
x = appr 2277.147