7/x-2=24/x-15/2x

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Solution for 7/x-2=24/x-15/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-2 = 24/x-((15/2)*x) // - 24/x-((15/2)*x)

(15/2)*x+7/x-(24/x)-2 = 0

(15/2)*x+7/x-24*x^-1-2 = 0

15/2*x^1-17*x^-1-2*x^0 = 0

(15/2*x^2-2*x^1-17*x^0)/(x^1) = 0 // * x^2

x^1*(15/2*x^2-2*x^1-17*x^0) = 0

x^1

(15/2)*x^2-2*x-17 = 0

(15/2)*x^2-2*x-17 = 0

DELTA = (-2)^2-(-17*4*(15/2))

DELTA = 514

DELTA > 0

x = (514^(1/2)+2)/(2*(15/2)) or x = (2-514^(1/2))/(2*(15/2))

x = (514^(1/2)+2)/15 or x = (2-514^(1/2))/15

x in { (2-514^(1/2))/15, (514^(1/2)+2)/15} 

x in { (2-514^(1/2))/15, (514^(1/2)+2)/15 }

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