9/x-5=7/2x

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Solution for 9/x-5=7/2x equation:


D( x )

x = 0

x = 0

x = 0

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

9/x-5 = (7/2)*x // - (7/2)*x

9/x-((7/2)*x)-5 = 0

(-7/2)*x+9/x-5 = 0

9*x^-1-7/2*x^1-5*x^0 = 0

(9*x^0-7/2*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(9*x^0-7/2*x^2-5*x^1) = 0

x^1

(-7/2)*x^2-5*x+9 = 0

(-7/2)*x^2-5*x+9 = 0

DELTA = (-5)^2-(4*9*(-7/2))

DELTA = 151

DELTA > 0

x = (151^(1/2)+5)/(2*(-7/2)) or x = (5-151^(1/2))/(2*(-7/2))

x = (151^(1/2)+5)/(-7) or x = (5-151^(1/2))/(-7)

x in { (151^(1/2)+5)/(-7), (5-151^(1/2))/(-7)}

x in { (151^(1/2)+5)/(-7), (5-151^(1/2))/(-7) }

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