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x in (-oo:+oo)
(1/2)*(2*x^2-(8*x)) = 70 // - 70
(1/2)*(2*x^2-(8*x))-70 = 0
(1/2)*(2*x^2-8*x)-70 = 0
1/2*(2*x^2-8*x)-70 = 0
1/2*(2*x^2-8*x)-70 = 0
x^2-4*x-70 = 0
x^2-4*x-70 = 0
x^2-4*x-70 = 0
DELTA = (-4)^2-(-70*1*4)
DELTA = 296
DELTA > 0
x = (296^(1/2)+4)/(1*2) or x = (4-296^(1/2))/(1*2)
x = (2*74^(1/2)+4)/2 or x = (4-2*74^(1/2))/2
(x-((4-2*74^(1/2))/2))*(x-((2*74^(1/2)+4)/2)) = 0
(x-((4-2*74^(1/2))/2))*(x-((2*74^(1/2)+4)/2)) = 0
( x-((2*74^(1/2)+4)/2) )
x-((2*74^(1/2)+4)/2) = 0 // + (2*74^(1/2)+4)/2
x = (2*74^(1/2)+4)/2
( x-((4-2*74^(1/2))/2) )
x-((4-2*74^(1/2))/2) = 0 // + (4-2*74^(1/2))/2
x = (4-2*74^(1/2))/2
x in { (2*74^(1/2)+4)/2, (4-2*74^(1/2))/2 }
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