(x2-10)/6=x

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Solution for (x2-10)/6=x equation: 


x in (-oo:+oo)

(x^2-10)/6 = x // - x

(x^2-10)/6-x = 0

(x^2-10)/6+(6*(-x))/6 = 0

x^2+6*(-x)-10 = 0

x^2-6*x-10 = 0

x^2-6*x-10 = 0

x^2-6*x-10 = 0

DELTA = (-6)^2-(-10*1*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)+6)/(1*2) or x = (6-76^(1/2))/(1*2)

x = (2*19^(1/2)+6)/2 or x = (6-2*19^(1/2))/2

(x-((6-2*19^(1/2))/2))*(x-((2*19^(1/2)+6)/2)) = 0

((x-((6-2*19^(1/2))/2))*(x-((2*19^(1/2)+6)/2)))/6 = 0

((x-((6-2*19^(1/2))/2))*(x-((2*19^(1/2)+6)/2)))/6 = 0 // * 6

(x-((6-2*19^(1/2))/2))*(x-((2*19^(1/2)+6)/2)) = 0

( x-((2*19^(1/2)+6)/2) )

x-((2*19^(1/2)+6)/2) = 0 // + (2*19^(1/2)+6)/2

x = (2*19^(1/2)+6)/2

( x-((6-2*19^(1/2))/2) )

x-((6-2*19^(1/2))/2) = 0 // + (6-2*19^(1/2))/2

x = (6-2*19^(1/2))/2

x in { (2*19^(1/2)+6)/2, (6-2*19^(1/2))/2 }

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