4(x-3)^2/3=16

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Solution for 4(x-3)^2/3=16 equation: 


x in (-oo:+oo)

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

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

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

4*(x-3)^2-16*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-(-3*1*4)

DELTA = 48

DELTA > 0

x = (48^(1/2)+6)/(1*2) or x = (6-48^(1/2))/(1*2)

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

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

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

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

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

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

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

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

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

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

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

x in { (4*3^(1/2)+6)/2, (6-4*3^(1/2))/2 }

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