4x=72/x-3

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Solution for 4x=72/x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

4*x = 72/x-3 // - 72/x-3

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

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

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

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

x^1*(4*x^2+3*x^1-72*x^0) = 0

x^1

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

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

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

DELTA = 1161

DELTA > 0

x = (1161^(1/2)-3)/(2*4) or x = (-1161^(1/2)-3)/(2*4)

x = (3*129^(1/2)-3)/8 or x = (-3*129^(1/2)-3)/8

x in { (-3*129^(1/2)-3)/8, (3*129^(1/2)-3)/8}

x in { (-3*129^(1/2)-3)/8, (3*129^(1/2)-3)/8 }

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