3x+1=10/x

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Solution for 3x+1=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+1 = 10/x // - 10/x

3*x-(10/x)+1 = 0

3*x-10*x^-1+1 = 0

3*x^1-10*x^-1+1*x^0 = 0

(3*x^2+1*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+1*x^1-10*x^0) = 0

x^1

3*x^2+x-10 = 0

3*x^2+x-10 = 0

DELTA = 1^2-(-10*3*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(2*3) or x = (-121^(1/2)-1)/(2*3)

x = 5/3 or x = -2

x in { -2, 5/3} 

x in { -2, 5/3 }

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