2(-2+x)x-1/2

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Solution for 2(-2+x)x-1/2 equation: 


x in (-oo:+oo)

2*x*(x-2)-(1/2) = 0

2*x*(x-2)-1/2 = 0

(2*2*x*(x-2))/2-1/2 = 0

2*2*x*(x-2)-1 = 0

4*x^2-8*x-1 = 0

4*x^2-8*x-1 = 0

4*x^2-8*x-1 = 0

DELTA = (-8)^2-(-1*4*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)+8)/(2*4) or x = (8-80^(1/2))/(2*4)

x = (4*5^(1/2)+8)/8 or x = (8-4*5^(1/2))/8

(x-((8-4*5^(1/2))/8))*(x-((4*5^(1/2)+8)/8)) = 0

((x-((8-4*5^(1/2))/8))*(x-((4*5^(1/2)+8)/8)))/2 = 0

((x-((8-4*5^(1/2))/8))*(x-((4*5^(1/2)+8)/8)))/2 = 0 // * 2

(x-((8-4*5^(1/2))/8))*(x-((4*5^(1/2)+8)/8)) = 0

( x-((4*5^(1/2)+8)/8) )

x-((4*5^(1/2)+8)/8) = 0 // + (4*5^(1/2)+8)/8

x = (4*5^(1/2)+8)/8

( x-((8-4*5^(1/2))/8) )

x-((8-4*5^(1/2))/8) = 0 // + (8-4*5^(1/2))/8

x = (8-4*5^(1/2))/8

x in { (4*5^(1/2)+8)/8, (8-4*5^(1/2))/8 }

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