x+(24/x)=10

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Solution for x+(24/x)=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+24/x = 10 // - 10

x+24/x-10 = 0

1*x^1+24*x^-1-10*x^0 = 0

(1*x^2-10*x^1+24*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-10*x^1+24*x^0) = 0

x^1

x^2-10*x+24 = 0

x^2-10*x+24 = 0

DELTA = (-10)^2-(1*4*24)

DELTA = 4

DELTA > 0

x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)

x = 6 or x = 4

x in { 4, 6} 

x in { 4, 6 }

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