5/x-1/4=9/3x

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Solution for 5/x-1/4=9/3x equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-(1/4) = (9/3)*x // - (9/3)*x

5/x-((9/3)*x)-(1/4) = 0

5/x-3*x-1/4 = 0

5*x^-1-3*x^1-1/4*x^0 = 0

(5*x^0-3*x^2-1/4*x^1)/(x^1) = 0 // * x^2

x^1*(5*x^0-3*x^2-1/4*x^1) = 0

x^1

(-1/4)*x-3*x^2+5 = 0

(-1/4)*x-3*x^2+5 = 0

DELTA = (-1/4)^2-(-3*4*5)

DELTA = 961/16

DELTA > 0

x = ((961/16)^(1/2)-(-1/4))/(-3*2) or x = (-(-1/4)-(961/16)^(1/2))/(-3*2)

x = -4/3 or x = 5/4

x in { -4/3, 5/4} 

x in { -4/3, 5/4 }

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