10x-1/x=3

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Solution for 10x-1/x=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

10*x^2-3*x-1 = 0

10*x^2-3*x-1 = 0

DELTA = (-3)^2-(-1*4*10)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(2*10) or x = (3-49^(1/2))/(2*10)

x = 1/2 or x = -1/5

x in { -1/5, 1/2} 

x in { -1/5, 1/2 }

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