(3/7x)-(2/x)=11

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Solution for (3/7x)-(2/x)=11 equation:


D( x )

x = 0

x = 0

x = 0

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

(3/7)*x-(2/x) = 11 // - 11

(3/7)*x-(2/x)-11 = 0

(3/7)*x-2*x^-1-11 = 0

3/7*x^1-2*x^-1-11*x^0 = 0

(3/7*x^2-11*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(3/7*x^2-11*x^1-2*x^0) = 0

x^1

(3/7)*x^2-11*x-2 = 0

(3/7)*x^2-11*x-2 = 0

DELTA = (-11)^2-(-2*4*(3/7))

DELTA = 871/7

DELTA > 0

x = ((871/7)^(1/2)+11)/(2*(3/7)) or x = (11-(871/7)^(1/2))/(2*(3/7))

x = 7/6*((871/7)^(1/2)+11) or x = 7/6*(11-(871/7)^(1/2))

x in { 7/6*(11-(871/7)^(1/2)), 7/6*((871/7)^(1/2)+11)}

x in { 7/6*(11-(871/7)^(1/2)), 7/6*((871/7)^(1/2)+11) }

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