9/x=x+9/4

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Solution for 9/x=x+9/4 equation:


D( x )

x = 0

x = 0

x = 0

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

9/x = x+9/4 // - x+9/4

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

9/x-x-9/4 = 0

9*x^-1-1*x^1-9/4*x^0 = 0

(9*x^0-1*x^2-9/4*x^1)/(x^1) = 0 // * x^2

x^1*(9*x^0-1*x^2-9/4*x^1) = 0

x^1

(-9/4)*x-x^2+9 = 0

(-9/4)*x-x^2+9 = 0

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

DELTA = 657/16

DELTA > 0

x = ((657/16)^(1/2)-(-9/4))/(-1*2) or x = (-(-9/4)-(657/16)^(1/2))/(-1*2)

x = ((657/16)^(1/2)+9/4)/(-2) or x = (9/4-(657/16)^(1/2))/(-2)

x in { ((657/16)^(1/2)+9/4)/(-2), (9/4-(657/16)^(1/2))/(-2)}

x in { ((657/16)^(1/2)+9/4)/(-2), (9/4-(657/16)^(1/2))/(-2) }

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