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

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Solution for 9-2x-2x^-1/2=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 73

DELTA > 0

x = (73^(1/2)-9)/(-2*2) or x = (-73^(1/2)-9)/(-2*2)

x = (73^(1/2)-9)/(-4) or x = (73^(1/2)+9)/4

x in { (73^(1/2)-9)/(-4), (73^(1/2)+9)/4} 

x in { (73^(1/2)-9)/(-4), (73^(1/2)+9)/4 }

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