1/2(x-2)^2=13

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Solution for 1/2(x-2)^2=13 equation: 


x in (-oo:+oo)

(1/2)*(x-2)^2 = 13 // - 13

(1/2)*(x-2)^2-13 = 0

1/2*(x-2)^2-13 = 0

1/2*(x-2)^2-13 = 0

1/2*x^2-2*x-11 = 0

1/2*x^2-2*x-11 = 0

1/2*x^2-2*x-11 = 0

DELTA = (-2)^2-(-11*1/2*4)

DELTA = 26

DELTA > 0

x = (26^(1/2)+2)/(1/2*2) or x = (2-26^(1/2))/(1/2*2)

x = 26^(1/2)+2 or x = 2-26^(1/2)

(x+26^(1/2)-2)*(x-26^(1/2)-2) = 0

(x+26^(1/2)-2)*(x-26^(1/2)-2) = 0

( x+26^(1/2)-2 )

x+26^(1/2)-2 = 0 // - 26^(1/2)-2

x = -(26^(1/2)-2)

x = 2-26^(1/2)

( x-26^(1/2)-2 )

x-26^(1/2)-2 = 0 // + 26^(1/2)+2

x = 26^(1/2)+2

x in { 2-26^(1/2), 26^(1/2)+2 }

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