(3/x)-(1/7x)=2/14

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Solution for (3/x)-(1/7x)=2/14 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-((1/7)*x) = 2/14 // - 2/14

3/x-((1/7)*x)-(2/14) = 0

(-1/7)*x+3/x-1/7 = 0

3*x^-1-1/7*x^1-1/7*x^0 = 0

(3*x^0-1/7*x^2-1/7*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-1/7*x^2-1/7*x^1) = 0

x^1

(-1/7)*x^2+(-1/7)*x+3 = 0

(-1/7)*x^2+(-1/7)*x+3 = 0

DELTA = (-1/7)^2-(3*4*(-1/7))

DELTA = 85/49

DELTA > 0

x = ((85/49)^(1/2)-(-1/7))/(2*(-1/7)) or x = (-(-1/7)-(85/49)^(1/2))/(2*(-1/7))

x = -7/2*((85/49)^(1/2)+1/7) or x = -7/2*(1/7-(85/49)^(1/2))

x in { -7/2*((85/49)^(1/2)+1/7), -7/2*(1/7-(85/49)^(1/2))} 

x in { -7/2*((85/49)^(1/2)+1/7), -7/2*(1/7-(85/49)^(1/2)) }

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