4(x-3)2/3=8

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Solution for 4(x-3)2/3=8 equation: 


x in (-oo:+oo)

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

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

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

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

4*x^2-24*x+12 = 0

4*x^2-24*x+12 = 0

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

x^2-6*x+3 = 0

DELTA = (-6)^2-(1*3*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)+6)/(1*2) or x = (6-24^(1/2))/(1*2)

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

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

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

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

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

( 4 )

4 = 0

x belongs to the empty set

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

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

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

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

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

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

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

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