5x-240/x=10

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Solution for 5x-240/x=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(240/x) = 10 // - 10

5*x-(240/x)-10 = 0

5*x-240*x^-1-10 = 0

5*x^1-240*x^-1-10*x^0 = 0

(5*x^2-10*x^1-240*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-10*x^1-240*x^0) = 0

x^1

5*x^2-10*x-240 = 0

5*x^2-10*x-240 = 0

DELTA = (-10)^2-(-240*4*5)

DELTA = 4900

DELTA > 0

x = (4900^(1/2)+10)/(2*5) or x = (10-4900^(1/2))/(2*5)

x = 8 or x = -6

x in { -6, 8} 

x in { -6, 8 }

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