left { {{x-5<0} atop {4x-x^{2}geq0}} right. \\left { {{x<5} atop {x(x-4)leq 0}} right.)
+ - +
__________[0]__________[4]______________
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x ∈ [0 ; 4]
left { {{x-5geq0 } atop {4x-x^{2}>(x-5)^{2}}} right.\\left { {{xgeq 5} atop {4x-x^{2}>x^{2}-10x+25}} right. \\left { {{xgeq 5} atop {4x-x^{2}-x^{2} +10x-25>0 }} right.\\left { {{xgeq5 } atop {2x^{2}-14x+25>0 }} right.)
2x² - 14x + 25 =0
D < 0 , решений нет
Окончательный ответ : x ∈ [0 ; 4 ]
0 + 1 + 2 + 3 + 4 = 10