-10=x+(24/x)

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


D( x )

x = 0

x = 0

x = 0

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

-10 = x+24/x // - x+24/x

-x-(24/x)-10 = 0

-x-24*x^-1-10 = 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-(-24*(-1)*4)

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 { -6, -4} 

x in { -6, -4 }

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