23/x=x-10

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Solution for 23/x=x-10 equation:


D( x )

x = 0

x = 0

x = 0

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

23/x = x-10 // - x-10

23/x-x+10 = 0

23*x^-1-1*x^1+10*x^0 = 0

(10*x^1-1*x^2+23*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^1-1*x^2+23*x^0) = 0

x^1

10*x-x^2+23 = 0

10*x-x^2+23 = 0

DELTA = 10^2-(-1*4*23)

DELTA = 192

DELTA > 0

x = (192^(1/2)-10)/(-1*2) or x = (-192^(1/2)-10)/(-1*2)

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

x in { (8*3^(1/2)-10)/(-2), (-8*3^(1/2)-10)/(-2)}

x in { (8*3^(1/2)-10)/(-2), (-8*3^(1/2)-10)/(-2) }

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