-1/12(x^2-24x-36)=0

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Solution for -1/12(x^2-24x-36)=0 equation: 


x in (-oo:+oo)

(-1/12)*(x^2-(24*x)-36) = 0

(-1/12)*(x^2-24*x-36) = 0

-1/12*(x^2-24*x-36) = 0

x^2-24*x-36 = 0

x^2-24*x-36 = 0

DELTA = (-24)^2-(-36*1*4)

DELTA = 720

DELTA > 0

x = (720^(1/2)+24)/(1*2) or x = (24-720^(1/2))/(1*2)

x = (12*5^(1/2)+24)/2 or x = (24-12*5^(1/2))/2

(x-((24-12*5^(1/2))/2))*(x-((12*5^(1/2)+24)/2)) = 0

-1/12*(x-((24-12*5^(1/2))/2))*(x-((12*5^(1/2)+24)/2)) = 0

( x-((12*5^(1/2)+24)/2) )

x-((12*5^(1/2)+24)/2) = 0 // + (12*5^(1/2)+24)/2

x = (12*5^(1/2)+24)/2

( x-((24-12*5^(1/2))/2) )

x-((24-12*5^(1/2))/2) = 0 // + (24-12*5^(1/2))/2

x = (24-12*5^(1/2))/2

x in { (12*5^(1/2)+24)/2, (24-12*5^(1/2))/2 }

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