7/x-5=9/2x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 151

DELTA > 0

x = (151^(1/2)+5)/(2*(-9/2)) or x = (5-151^(1/2))/(2*(-9/2))

x = (151^(1/2)+5)/(-9) or x = (5-151^(1/2))/(-9)

x in { (151^(1/2)+5)/(-9), (5-151^(1/2))/(-9)} 

x in { (151^(1/2)+5)/(-9), (5-151^(1/2))/(-9) }

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