2x+1/x-7=5

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Solution for 2x+1/x-7=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+1/x-7 = 5 // - 5

2*x+1/x-7-5 = 0

2*x^1+1*x^-1-12*x^0 = 0

(2*x^2-12*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-12*x^1+1*x^0) = 0

x^1

2*x^2-12*x+1 = 0

2*x^2-12*x+1 = 0

DELTA = (-12)^2-(1*2*4)

DELTA = 136

DELTA > 0

x = (136^(1/2)+12)/(2*2) or x = (12-136^(1/2))/(2*2)

x = (2*34^(1/2)+12)/4 or x = (12-2*34^(1/2))/4

x in { (12-2*34^(1/2))/4, (2*34^(1/2)+12)/4} 

x in { (12-2*34^(1/2))/4, (2*34^(1/2)+12)/4 }

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