5/x=x-24

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Solution for 5/x=x-24 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x = x-24 // - x-24

5/x-x+24 = 0

5*x^-1-1*x^1+24*x^0 = 0

(24*x^1-1*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^1-1*x^2+5*x^0) = 0

x^1

24*x-x^2+5 = 0

24*x-x^2+5 = 0

DELTA = 24^2-(-1*4*5)

DELTA = 596

DELTA > 0

x = (596^(1/2)-24)/(-1*2) or x = (-596^(1/2)-24)/(-1*2)

x = (2*149^(1/2)-24)/(-2) or x = (-2*149^(1/2)-24)/(-2)

x in { (2*149^(1/2)-24)/(-2), (-2*149^(1/2)-24)/(-2)}

x in { (2*149^(1/2)-24)/(-2), (-2*149^(1/2)-24)/(-2) }

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