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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1/5*x^1-3*x^-1+13*x^0 = 0

(1/5*x^2+13*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/5*x^2+13*x^1-3*x^0) = 0

x^1

(1/5)*x^2+13*x-3 = 0

(1/5)*x^2+13*x-3 = 0

DELTA = 13^2-(-3*4*(1/5))

DELTA = 857/5

DELTA > 0

x = ((857/5)^(1/2)-13)/(2*(1/5)) or x = (-(857/5)^(1/2)-13)/(2*(1/5))

x = 5/2*((857/5)^(1/2)-13) or x = -5/2*((857/5)^(1/2)+13)

x in { -5/2*((857/5)^(1/2)+13), 5/2*((857/5)^(1/2)-13)}

x in { -5/2*((857/5)^(1/2)+13), 5/2*((857/5)^(1/2)-13) }

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