9/2x+1=4/x

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Solution for 9/2x+1=4/x equation:


D( x )

x = 0

x = 0

x = 0

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

(9/2)*x+1 = 4/x // - 4/x

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

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

9/2*x^1-4*x^-1+1*x^0 = 0

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

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

x^1

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

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

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

DELTA = 73

DELTA > 0

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

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

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

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

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