0=-1/12(x^2-24x-48)

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Solution for 0=-1/12(x^2-24x-48) equation: 


x in (-oo:+oo)

0 = (-1/12)*(x^2-(24*x)-48) // - (-1/12)*(x^2-(24*x)-48)

0-((-1/12)*(x^2-(24*x)-48)) = 0

(1/12)*(x^2-24*x-48) = 0

1/12*(x^2-24*x-48) = 0

x^2-24*x-48 = 0

x^2-24*x-48 = 0

DELTA = (-24)^2-(-48*1*4)

DELTA = 768

DELTA > 0

x = (768^(1/2)+24)/(1*2) or x = (24-768^(1/2))/(1*2)

x = (16*3^(1/2)+24)/2 or x = (24-16*3^(1/2))/2

(x-((24-16*3^(1/2))/2))*(x-((16*3^(1/2)+24)/2)) = 0

1/12*(x-((24-16*3^(1/2))/2))*(x-((16*3^(1/2)+24)/2)) = 0

( x-((16*3^(1/2)+24)/2) )

x-((16*3^(1/2)+24)/2) = 0 // + (16*3^(1/2)+24)/2

x = (16*3^(1/2)+24)/2

( x-((24-16*3^(1/2))/2) )

x-((24-16*3^(1/2))/2) = 0 // + (24-16*3^(1/2))/2

x = (24-16*3^(1/2))/2

x in { (16*3^(1/2)+24)/2, (24-16*3^(1/2))/2 }

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