2-x/x^2+2x-8

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Solution for 2-x/x^2+2x-8 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

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

2*x-x^-1-8+2 = 0

2*x^1-1*x^-1-6*x^0 = 0

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

x^1*(2*x^2-6*x^1-1*x^0) = 0

x^1

2*x^2-6*x-1 = 0

2*x^2-6*x-1 = 0

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

DELTA = 44

DELTA > 0

x = (44^(1/2)+6)/(2*2) or x = (6-44^(1/2))/(2*2)

x = (2*11^(1/2)+6)/4 or x = (6-2*11^(1/2))/4

x in { (6-2*11^(1/2))/4, (2*11^(1/2)+6)/4}

x in { (6-2*11^(1/2))/4, (2*11^(1/2)+6)/4 }

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