1/2(4x^2-2x-8)

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Solution for 1/2(4x^2-2x-8) equation: 


x in (-oo:+oo)

(1/2)*(4*x^2-(2*x)-8) = 0

(1/2)*(4*x^2-2*x-8) = 0

1/2*(4*x^2-2*x-8) = 0

4*x^2-2*x-8 = 0

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

2*x^2-x-4 = 0

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

DELTA = 33

DELTA > 0

x = (33^(1/2)+1)/(2*2) or x = (1-33^(1/2))/(2*2)

x = (33^(1/2)+1)/4 or x = (1-33^(1/2))/4

2*(x-((1-33^(1/2))/4))*(x-((33^(1/2)+1)/4)) = 0

1/2*2*(x-((1-33^(1/2))/4))*(x-((33^(1/2)+1)/4)) = 0

( x-((1-33^(1/2))/4) )

x-((1-33^(1/2))/4) = 0 // + (1-33^(1/2))/4

x = (1-33^(1/2))/4

( x-((33^(1/2)+1)/4) )

x-((33^(1/2)+1)/4) = 0 // + (33^(1/2)+1)/4

x = (33^(1/2)+1)/4

x in { (1-33^(1/2))/4, (33^(1/2)+1)/4 }

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