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

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


x in (-oo:+oo)

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

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

1/2*x*(x-4)-256 = 0

1/2*x*(x-4)-256 = 0

1/2*x^2-2*x-256 = 0

1/2*x^2-2*x-256 = 0

1/2*x^2-2*x-256 = 0

DELTA = (-2)^2-(-256*1/2*4)

DELTA = 516

DELTA > 0

x = (516^(1/2)+2)/(1/2*2) or x = (2-516^(1/2))/(1/2*2)

x = 2*129^(1/2)+2 or x = 2-2*129^(1/2)

(x+2*129^(1/2)-2)*(x-2*129^(1/2)-2) = 0

(x+2*129^(1/2)-2)*(x-2*129^(1/2)-2) = 0

( x+2*129^(1/2)-2 )

x+2*129^(1/2)-2 = 0 // - 2*129^(1/2)-2

x = -(2*129^(1/2)-2)

x = 2-(2*129^(1/2))

( x-2*129^(1/2)-2 )

x-2*129^(1/2)-2 = 0 // + -2*129^(1/2)-2

x = -(-2*129^(1/2)-2)

x = 2-(-2*129^(1/2))

x in { 2-(2*129^(1/2)), 2-(-2*129^(1/2)) }

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