1/(x^2-8)-1/(x^2-2x-2)=0

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Solution for 1/(x^2-8)-1/(x^2-2x-2)=0 equation: 


D( x )

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

x^2-8 = 0

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

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

x^2-2*x-2 = 0

x^2-2*x-2 = 0

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

DELTA = 12

DELTA > 0

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

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

x^2-8 = 0

x^2-8 = 0

1*x^2 = 8 // : 1

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

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

x in (-oo:-(2*2^(1/2))) U (-(2*2^(1/2)):(2-2*3^(1/2))/2) U ((2-2*3^(1/2))/2:(2*3^(1/2)+2)/2) U ((2*3^(1/2)+2)/2:2*2^(1/2)) U (2*2^(1/2):+oo)

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

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

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

x^2-2*x-2 = 0

x^2-2*x-2 = 0

x^2-2*x-2 = 0

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

DELTA = 12

DELTA > 0

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

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

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

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

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

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

(-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x+1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8 = 0

((-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x+1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8)/((x^2-8)*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2))) = 0

((-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x+1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8)/((x^2-8)*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2))) = 0 // * (x^2-8)*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2))

(-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x+1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8 = 0

(-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x+1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8 = 0 // - 1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8

(-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))*x = -(1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8) // : -((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4)

x = (-(1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8))/(-((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4))

x = (1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8)/((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4)

x = (1/4*(2-2*3^(1/2))*(2*3^(1/2)+2)+8)/((2*(2-2*3^(1/2))+2*(2*3^(1/2)+2))/4)

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