2(x-8)2/3=16

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Solution for 2(x-8)2/3=16 equation:


x in (-oo:+oo)

(2*(x-8)^2)/3 = 16 // - 16

(2*(x-8)^2)/3-16 = 0

(2*(x-8)^2)/3+(-16*3)/3 = 0

2*(x-8)^2-16*3 = 0

2*x^2-32*x+80 = 0

2*x^2-32*x+80 = 0

2*(x^2-16*x+40) = 0

x^2-16*x+40 = 0

DELTA = (-16)^2-(1*4*40)

DELTA = 96

DELTA > 0

x = (96^(1/2)+16)/(1*2) or x = (16-96^(1/2))/(1*2)

x = (4*6^(1/2)+16)/2 or x = (16-4*6^(1/2))/2

2*(x-((16-4*6^(1/2))/2))*(x-((4*6^(1/2)+16)/2)) = 0

(2*(x-((16-4*6^(1/2))/2))*(x-((4*6^(1/2)+16)/2)))/3 = 0

(2*(x-((16-4*6^(1/2))/2))*(x-((4*6^(1/2)+16)/2)))/3 = 0 // * 3

2*(x-((16-4*6^(1/2))/2))*(x-((4*6^(1/2)+16)/2)) = 0

( 2 )

2 = 0

x belongs to the empty set

( x-((16-4*6^(1/2))/2) )

x-((16-4*6^(1/2))/2) = 0 // + (16-4*6^(1/2))/2

x = (16-4*6^(1/2))/2

( x-((4*6^(1/2)+16)/2) )

x-((4*6^(1/2)+16)/2) = 0 // + (4*6^(1/2)+16)/2

x = (4*6^(1/2)+16)/2

x in { (16-4*6^(1/2))/2, (4*6^(1/2)+16)/2 }

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