2/5x=-3/15+1/x

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Solution for 2/5x=-3/15+1/x equation:


D( x )

x = 0

x = 0

x = 0

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

(2/5)*x = 1/x-3/15 // - 1/x-3/15

(2/5)*x-(1/x)-(-3/15) = 0

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

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

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

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

x^1

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

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

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

DELTA = 41/25

DELTA > 0

x = ((41/25)^(1/2)-(1/5))/(2*(2/5)) or x = (-(1/5)-(41/25)^(1/2))/(2*(2/5))

x = 5/4*((41/25)^(1/2)-1/5) or x = -5/4*((41/25)^(1/2)+1/5)

x in { -5/4*((41/25)^(1/2)+1/5), 5/4*((41/25)^(1/2)-1/5)}

x in { -5/4*((41/25)^(1/2)+1/5), 5/4*((41/25)^(1/2)-1/5) }

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