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x in (-oo:+oo)
y = (3/5)*x^2+30*x+382 // - (3/5)*x^2+30*x+382
y-((3/5)*x^2)-(30*x)-382 = 0
(-3/5)*x^2-30*x+y-382 = 0
y-3/5*x^2-30*x-382 = 0
DELTA = (-30)^2-(-3/5*4*(y-382))
DELTA = 12/5*(y-382)+900
12/5*(y-382)+900 = 0
12/5*(y-382)+900 = 0
12/5*y-84/5 = 0
12/5*y-84/5 = 0
12/5*y-84/5 = 0 // + 84/5
12/5*y = 84/5 // : 12/5
y = 84/5/12/5
y = 7
DELTA = 0 <=> t_1 = 7
x = 30/(-3/5*2) i y = 7
x = -25 i y = 7
( x = ((12/5*(y-382)+900)^(1/2)+30)/(-3/5*2) or x = (30-(12/5*(y-382)+900)^(1/2))/(-3/5*2) ) i y > 7
( x = -5/6*((12/5*(y-382)+900)^(1/2)+30) or x = -5/6*(30-(12/5*(y-382)+900)^(1/2)) ) i y > 7
y-7 > 0
y-7 > 0 // + 7
y > 7
x in { -25, -5/6*((12/5*(y-382)+900)^(1/2)+30), -5/6*(30-(12/5*(y-382)+900)^(1/2)) }
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