1/2(n^2-3n-77)=0

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Solution for 1/2(n^2-3n-77)=0 equation: 


n in (-oo:+oo)

(1/2)*(n^2-(3*n)-77) = 0

(1/2)*(n^2-3*n-77) = 0

1/2*(n^2-3*n-77) = 0

n^2-3*n-77 = 0

n^2-3*n-77 = 0

DELTA = (-3)^2-(-77*1*4)

DELTA = 317

DELTA > 0

n = (317^(1/2)+3)/(1*2) or n = (3-317^(1/2))/(1*2)

n = (317^(1/2)+3)/2 or n = (3-317^(1/2))/2

(n-((3-317^(1/2))/2))*(n-((317^(1/2)+3)/2)) = 0

1/2*(n-((3-317^(1/2))/2))*(n-((317^(1/2)+3)/2)) = 0

( 1/2 )

1/2 = 0

n belongs to the empty set

( n-((3-317^(1/2))/2) )

n-((3-317^(1/2))/2) = 0 // + (3-317^(1/2))/2

n = (3-317^(1/2))/2

( n-((317^(1/2)+3)/2) )

n-((317^(1/2)+3)/2) = 0 // + (317^(1/2)+3)/2

n = (317^(1/2)+3)/2

n in { (3-317^(1/2))/2, (317^(1/2)+3)/2 }

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