3x-8(1/x)=10

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Solution for 3x-8(1/x)=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(8*(1/x)) = 10 // - 10

3*x-(8*(1/x))-10 = 0

3*x-8*x^-1-10 = 0

3*x^1-8*x^-1-10*x^0 = 0

(3*x^2-10*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-10*x^1-8*x^0) = 0

x^1

3*x^2-10*x-8 = 0

3*x^2-10*x-8 = 0

DELTA = (-10)^2-(-8*3*4)

DELTA = 196

DELTA > 0

x = (196^(1/2)+10)/(2*3) or x = (10-196^(1/2))/(2*3)

x = 4 or x = -2/3

x in { -2/3, 4} 

x in { -2/3, 4 }

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