(x-5/x-6)=(7/6-x)

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Solution for (x-5/x-6)=(7/6-x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x)-6 = 7/6-x // - 7/6-x

x+x-(5/x)-(7/6)-6 = 0

x+x-5*x^-1-7/6-6 = 0

2*x^1-5*x^-1-43/6*x^0 = 0

(2*x^2-43/6*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-43/6*x^1-5*x^0) = 0

x^1

2*x^2+(-43/6)*x-5 = 0

2*x^2+(-43/6)*x-5 = 0

DELTA = (-43/6)^2-(-5*2*4)

DELTA = 3289/36

DELTA > 0

x = ((3289/36)^(1/2)-(-43/6))/(2*2) or x = (-(-43/6)-(3289/36)^(1/2))/(2*2)

x = ((3289/36)^(1/2)+43/6)/4 or x = (43/6-(3289/36)^(1/2))/4

x in { (43/6-(3289/36)^(1/2))/4, ((3289/36)^(1/2)+43/6)/4} 

x in { (43/6-(3289/36)^(1/2))/4, ((3289/36)^(1/2)+43/6)/4 }

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