(x-1/6)^2=1759/36

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Solution for (x-1/6)^2=1759/36 equation: 


x in (-oo:+oo)

(x-(1/6))^2 = 1759/36 // - 1759/36

(x-(1/6))^2-(1759/36) = 0

(x-1/6)^2-1759/36 = 0

(36*(x-1/6)^2)/36-1759/36 = 0

36*(x-1/6)^2-1759 = 0

36*x^2-12*x-1758 = 0

36*x^2-12*x-1758 = 0

6*(6*x^2-2*x-293) = 0

6*x^2-2*x-293 = 0

DELTA = (-2)^2-(-293*4*6)

DELTA = 7036

DELTA > 0

x = (7036^(1/2)+2)/(2*6) or x = (2-7036^(1/2))/(2*6)

x = (2*1759^(1/2)+2)/12 or x = (2-2*1759^(1/2))/12

6*(x-((2-2*1759^(1/2))/12))*(x-((2*1759^(1/2)+2)/12)) = 0

(6*(x-((2-2*1759^(1/2))/12))*(x-((2*1759^(1/2)+2)/12)))/36 = 0

(6*(x-((2-2*1759^(1/2))/12))*(x-((2*1759^(1/2)+2)/12)))/36 = 0 // * 36

6*(x-((2-2*1759^(1/2))/12))*(x-((2*1759^(1/2)+2)/12)) = 0

( 6 )

6 = 0

x belongs to the empty set

( x-((2*1759^(1/2)+2)/12) )

x-((2*1759^(1/2)+2)/12) = 0 // + (2*1759^(1/2)+2)/12

x = (2*1759^(1/2)+2)/12

( x-((2-2*1759^(1/2))/12) )

x-((2-2*1759^(1/2))/12) = 0 // + (2-2*1759^(1/2))/12

x = (2-2*1759^(1/2))/12

x in { (2*1759^(1/2)+2)/12, (2-2*1759^(1/2))/12 }

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