47=((3-2x)^2)/(x^2)

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Solution for 47=((3-2x)^2)/(x^2) equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

47 = ((3-(2*x))^2)/(x^2) // - ((3-(2*x))^2)/(x^2)

47-(((3-(2*x))^2)/(x^2)) = 0

47-(((3-2*x)^2)/(x^2)) = 0

(-1*(3-2*x)^2)/(x^2)+47 = 0

(-1*(3-2*x)^2)/(x^2)+(47*x^2)/(x^2) = 0

47*x^2-1*(3-2*x)^2 = 0

43*x^2+12*x-9 = 0

43*x^2+12*x-9 = 0

43*x^2+12*x-9 = 0

DELTA = 12^2-(-9*4*43)

DELTA = 1692

DELTA > 0

x = (1692^(1/2)-12)/(2*43) or x = (-1692^(1/2)-12)/(2*43)

x = (6*47^(1/2)-12)/86 or x = (-6*47^(1/2)-12)/86

(x-((-6*47^(1/2)-12)/86))*(x-((6*47^(1/2)-12)/86)) = 0

((x-((-6*47^(1/2)-12)/86))*(x-((6*47^(1/2)-12)/86)))/(x^2) = 0

((x-((-6*47^(1/2)-12)/86))*(x-((6*47^(1/2)-12)/86)))/(x^2) = 0 // * x^2

(x-((-6*47^(1/2)-12)/86))*(x-((6*47^(1/2)-12)/86)) = 0

( x-((-6*47^(1/2)-12)/86) )

x-((-6*47^(1/2)-12)/86) = 0 // + (-6*47^(1/2)-12)/86

x = (-6*47^(1/2)-12)/86

( x-((6*47^(1/2)-12)/86) )

x-((6*47^(1/2)-12)/86) = 0 // + (6*47^(1/2)-12)/86

x = (6*47^(1/2)-12)/86

x in { (-6*47^(1/2)-12)/86, (6*47^(1/2)-12)/86 }

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