24x-72/x+3

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Solution for 24x-72/x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

24*x-(72/x)+3 = 0

24*x-72*x^-1+3 = 0

24*x^1-72*x^-1+3*x^0 = 0

(24*x^2+3*x^1-72*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^2+3*x^1-72*x^0) = 0

x^1

24*x^2+3*x-72 = 0

24*x^2+3*x-72 = 0

DELTA = 3^2-(-72*4*24)

DELTA = 6921

DELTA > 0

x = (6921^(1/2)-3)/(2*24) or x = (-6921^(1/2)-3)/(2*24)

x = (3*769^(1/2)-3)/48 or x = (-3*769^(1/2)-3)/48

x in { (-3*769^(1/2)-3)/48, (3*769^(1/2)-3)/48}

x in { (-3*769^(1/2)-3)/48, (3*769^(1/2)-3)/48 }

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