(x+3/5x)/(3x-3/5x^2)

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Solution for (x+3/5x)/(3x-3/5x^2) equation:


D( x )

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

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

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

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

3*x-3/5*x^2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-3)/(-3/5*2) or x = (-9^(1/2)-3)/(-3/5*2)

x = 0 or x = 5

x in (-oo:0) U (0:5) U (5:+oo)

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

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

(8/5*x)/(3*x-3/5*x^2) = 0

3*x-3/5*x^2 = 0

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

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

-1/5*x = -1 // : -1/5

x = -1/(-1/5)

x = 5

3*x*(x-5) = 0

(8/5*x)/(3*x*(x-5)) = 0

8/5*x = 0 // : 8/5

x = 0

x in { 0}

x belongs to the empty set

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