24/x=x-5

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Solution for 24/x=x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

24/x-x+5 = 0

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

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

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

x^1

5*x-x^2+24 = 0

5*x-x^2+24 = 0

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

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(-1*2) or x = (-121^(1/2)-5)/(-1*2)

x = -3 or x = 8

x in { -3, 8} 

x in { -3, 8 }

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