1/2*h^2-12h=54

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Solution for 1/2*h^2-12h=54 equation: 


h in (-oo:+oo)

(1/2)*h^2-(12*h) = 54 // - 54

(1/2)*h^2-(12*h)-54 = 0

(1/2)*h^2-12*h-54 = 0

1/2*h^2-12*h-54 = 0

DELTA = (-12)^2-(-54*1/2*4)

DELTA = 252

DELTA > 0

h = (252^(1/2)+12)/(1/2*2) or h = (12-252^(1/2))/(1/2*2)

h = 6*7^(1/2)+12 or h = 12-6*7^(1/2)

h in { 12-6*7^(1/2), 6*7^(1/2)+12 }

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