1/2(4x^2-16x-16)

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Solution for 1/2(4x^2-16x-16) equation: 


x in (-oo:+oo)

(1/2)*(4*x^2-(16*x)-16) = 0

(1/2)*(4*x^2-16*x-16) = 0

1/2*(4*x^2-16*x-16) = 0

4*x^2-16*x-16 = 0

4*(x^2-4*x-4) = 0

x^2-4*x-4 = 0

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

DELTA = 32

DELTA > 0

x = (32^(1/2)+4)/(1*2) or x = (4-32^(1/2))/(1*2)

x = (4*2^(1/2)+4)/2 or x = (4-4*2^(1/2))/2

4*(x-((4-4*2^(1/2))/2))*(x-((4*2^(1/2)+4)/2)) = 0

1/2*4*(x-((4-4*2^(1/2))/2))*(x-((4*2^(1/2)+4)/2)) = 0

( 1/2 )

1/2 = 0

x belongs to the empty set

( 4 )

4 = 0

x belongs to the empty set

( x-((4*2^(1/2)+4)/2) )

x-((4*2^(1/2)+4)/2) = 0 // + (4*2^(1/2)+4)/2

x = (4*2^(1/2)+4)/2

( x-((4-4*2^(1/2))/2) )

x-((4-4*2^(1/2))/2) = 0 // + (4-4*2^(1/2))/2

x = (4-4*2^(1/2))/2

x in { (4*2^(1/2)+4)/2, (4-4*2^(1/2))/2 }

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