6/11=x-4/x+7

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Solution for 6/11=x-4/x+7 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/11 = x-(4/x)+7 // - x-(4/x)+7

4/x-x+6/11-7 = 0

4*x^-1-1*x^1-71/11*x^0 = 0

(4*x^0-1*x^2-71/11*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-1*x^2-71/11*x^1) = 0

x^1

(-71/11)*x-x^2+4 = 0

(-71/11)*x-x^2+4 = 0

DELTA = (-71/11)^2-(-1*4*4)

DELTA = 6977/121

DELTA > 0

x = ((6977/121)^(1/2)-(-71/11))/(-1*2) or x = (-(-71/11)-(6977/121)^(1/2))/(-1*2)

x = ((6977/121)^(1/2)+71/11)/(-2) or x = (71/11-(6977/121)^(1/2))/(-2)

x in { ((6977/121)^(1/2)+71/11)/(-2), (71/11-(6977/121)^(1/2))/(-2)} 

x in { ((6977/121)^(1/2)+71/11)/(-2), (71/11-(6977/121)^(1/2))/(-2) }

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