9/2x=4/x-1/14

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Solution for 9/2x=4/x-1/14 equation:


D( x )

x = 0

x = 0

x = 0

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

(9/2)*x = 4/x-(1/14) // - 4/x-(1/14)

(9/2)*x-(4/x)+1/14 = 0

(9/2)*x-4*x^-1+1/14 = 0

9/2*x^1-4*x^-1+1/14*x^0 = 0

(9/2*x^2+1/14*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(9/2*x^2+1/14*x^1-4*x^0) = 0

x^1

(9/2)*x^2+(1/14)*x-4 = 0

(9/2)*x^2+(1/14)*x-4 = 0

DELTA = (1/14)^2-(-4*4*(9/2))

DELTA = 14113/196

DELTA > 0

x = ((14113/196)^(1/2)-(1/14))/(2*(9/2)) or x = (-(1/14)-(14113/196)^(1/2))/(2*(9/2))

x = ((14113/196)^(1/2)-1/14)/9 or x = (-((14113/196)^(1/2)+1/14))/9

x in { (-((14113/196)^(1/2)+1/14))/9, ((14113/196)^(1/2)-1/14)/9}

x in { (-((14113/196)^(1/2)+1/14))/9, ((14113/196)^(1/2)-1/14)/9 }

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