5/x-1=9/2x

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Solution for 5/x-1=9/2x equation:


D( x )

x = 0

x = 0

x = 0

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

5/x-1 = (9/2)*x // - (9/2)*x

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

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

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

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

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

x^1

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

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

DELTA = (-1)^2-(4*5*(-9/2))

DELTA = 91

DELTA > 0

x = (91^(1/2)+1)/(2*(-9/2)) or x = (1-91^(1/2))/(2*(-9/2))

x = (91^(1/2)+1)/(-9) or x = (1-91^(1/2))/(-9)

x in { (91^(1/2)+1)/(-9), (1-91^(1/2))/(-9)}

x in { (91^(1/2)+1)/(-9), (1-91^(1/2))/(-9) }

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