1/3(x-4)^2=11

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Solution for 1/3(x-4)^2=11 equation: 


x in (-oo:+oo)

(1/3)*(x-4)^2 = 11 // - 11

(1/3)*(x-4)^2-11 = 0

1/3*(x-4)^2-11 = 0

1/3*(x-4)^2-11 = 0

1/3*x^2-8/3*x-17/3 = 0

1/3*x^2-8/3*x-17/3 = 0

1/3*(x^2-8*x-17) = 0

x^2-8*x-17 = 0

DELTA = (-8)^2-(-17*1*4)

DELTA = 132

DELTA > 0

x = (132^(1/2)+8)/(1*2) or x = (8-132^(1/2))/(1*2)

x = (2*33^(1/2)+8)/2 or x = (8-2*33^(1/2))/2

1/3*(x-((8-2*33^(1/2))/2))*(x-((2*33^(1/2)+8)/2)) = 0

1/3*(x-((8-2*33^(1/2))/2))*(x-((2*33^(1/2)+8)/2)) = 0

( x-((2*33^(1/2)+8)/2) )

x-((2*33^(1/2)+8)/2) = 0 // + (2*33^(1/2)+8)/2

x = (2*33^(1/2)+8)/2

( x-((8-2*33^(1/2))/2) )

x-((8-2*33^(1/2))/2) = 0 // + (8-2*33^(1/2))/2

x = (8-2*33^(1/2))/2

x in { (2*33^(1/2)+8)/2, (8-2*33^(1/2))/2 }

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