5x^2=6/x-1

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Solution for 5x^2=6/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x^2 = 6/x-1 // - 6/x-1

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

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

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

(5*x^3+1*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^3+1*x^1-6*x^0) = 0

x^1

5*x^3+x-6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

x = 1

5*x^3+x-6 = 0

1

x-1

5*x^2+5*x+6

5*x^3+x-6

x-1

5*x^2-5*x^3

5*x^2+x-6

5*x-5*x^2

6*x-6

6-6*x

0

5*x^2+5*x+6 = 0

DELTA = 5^2-(4*5*6)

DELTA = -95

DELTA < 0

x in { 1} 

x = 1

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