x-4/6=9/x

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Solution for x-4/6=9/x equation:


D( x )

x = 0

x = 0

x = 0

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

x-(4/6) = 9/x // - 9/x

x-(9/x)-(4/6) = 0

x-9*x^-1-2/3 = 0

1*x^1-9*x^-1-2/3*x^0 = 0

(1*x^2-2/3*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-2/3*x^1-9*x^0) = 0

x^1

x^2+(-2/3)*x-9 = 0

x^2+(-2/3)*x-9 = 0

DELTA = (-2/3)^2-(-9*1*4)

DELTA = 328/9

DELTA > 0

x = ((328/9)^(1/2)-(-2/3))/(1*2) or x = (-(-2/3)-(328/9)^(1/2))/(1*2)

x = ((328/9)^(1/2)+2/3)/2 or x = (2/3-(328/9)^(1/2))/2

x in { (2/3-(328/9)^(1/2))/2, ((328/9)^(1/2)+2/3)/2}

x in { (2/3-(328/9)^(1/2))/2, ((328/9)^(1/2)+2/3)/2 }

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