-1/2x+10+4=5/x+5

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Solution for -1/2x+10+4=5/x+5 equation:


D( x )

x = 0

x = 0

x = 0

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

(-1/2)*x+4+10 = 5/x+5 // - 5/x+5

(-1/2)*x-(5/x)-5+4+10 = 0

(-1/2)*x-5*x^-1-5+4+10 = 0

9*x^0-1/2*x^1-5*x^-1 = 0

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

x^1*(9*x^1-1/2*x^2-5*x^0) = 0

x^1

(-1/2)*x^2+9*x-5 = 0

(-1/2)*x^2+9*x-5 = 0

DELTA = 9^2-(-5*4*(-1/2))

DELTA = 71

DELTA > 0

x = (71^(1/2)-9)/(2*(-1/2)) or x = (-71^(1/2)-9)/(2*(-1/2))

x = 9-71^(1/2) or x = 71^(1/2)+9

x in { 9-71^(1/2), 71^(1/2)+9}

x in { 9-71^(1/2), 71^(1/2)+9 }

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