5/x-2=9/3x-6

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Solution for 5/x-2=9/3x-6 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x-2 = (9/3)*x-6 // - (9/3)*x-6

5/x-((9/3)*x)-2+6 = 0

5/x-3*x-2+6 = 0

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

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

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

x^1

4*x-3*x^2+5 = 0

4*x-3*x^2+5 = 0

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

DELTA = 76

DELTA > 0

x = (76^(1/2)-4)/(-3*2) or x = (-76^(1/2)-4)/(-3*2)

x = (2*19^(1/2)-4)/(-6) or x = (-2*19^(1/2)-4)/(-6)

x in { (2*19^(1/2)-4)/(-6), (-2*19^(1/2)-4)/(-6)}

x in { (2*19^(1/2)-4)/(-6), (-2*19^(1/2)-4)/(-6) }

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