3x=45/x-2

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Solution for 3x=45/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x = 45/x-2 // - 45/x-2

3*x-(45/x)+2 = 0

3*x-45*x^-1+2 = 0

3*x^1-45*x^-1+2*x^0 = 0

(3*x^2+2*x^1-45*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+2*x^1-45*x^0) = 0

x^1

3*x^2+2*x-45 = 0

3*x^2+2*x-45 = 0

DELTA = 2^2-(-45*3*4)

DELTA = 544

DELTA > 0

x = (544^(1/2)-2)/(2*3) or x = (-544^(1/2)-2)/(2*3)

x = (4*34^(1/2)-2)/6 or x = (-4*34^(1/2)-2)/6

x in { (-4*34^(1/2)-2)/6, (4*34^(1/2)-2)/6} 

x in { (-4*34^(1/2)-2)/6, (4*34^(1/2)-2)/6 }

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