x=7-(x^2-3)/3

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Solution for x=7-(x^2-3)/3 equation: 


x in (-oo:+oo)

x = 7-((x^2-3)/3) // - 7-((x^2-3)/3)

(x^2-3)/3+x-7 = 0

(x^2-3)/3+(3*x)/3+(-7*3)/3 = 0

x^2+3*x-7*3-3 = 0

x^2+3*x-21-3 = 0

x^2+3*x-24 = 0

x^2+3*x-24 = 0

x^2+3*x-24 = 0

DELTA = 3^2-(-24*1*4)

DELTA = 105

DELTA > 0

x = (105^(1/2)-3)/(1*2) or x = (-105^(1/2)-3)/(1*2)

x = (105^(1/2)-3)/2 or x = (-(105^(1/2)+3))/2

(x+(105^(1/2)+3)/2)*(x-((105^(1/2)-3)/2)) = 0

((x+(105^(1/2)+3)/2)*(x-((105^(1/2)-3)/2)))/3 = 0

((x+(105^(1/2)+3)/2)*(x-((105^(1/2)-3)/2)))/3 = 0 // * 3

(x+(105^(1/2)+3)/2)*(x-((105^(1/2)-3)/2)) = 0

( x+(105^(1/2)+3)/2 )

x+(105^(1/2)+3)/2 = 0 // - (105^(1/2)+3)/2

x = -((105^(1/2)+3)/2)

( x-((105^(1/2)-3)/2) )

x-((105^(1/2)-3)/2) = 0 // + (105^(1/2)-3)/2

x = (105^(1/2)-3)/2

x in { -((105^(1/2)+3)/2), (105^(1/2)-3)/2 }

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