8x-3/x=10

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Solution for 8x-3/x=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 196

DELTA > 0

x = (196^(1/2)+10)/(2*8) or x = (10-196^(1/2))/(2*8)

x = 3/2 or x = -1/4

x in { -1/4, 3/2} 

x in { -1/4, 3/2 }

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