x/7-1/x=-6/7

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Solution for x/7-1/x=-6/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/7-(1/x) = -6/7 // + -6/7

x/7-(1/x)-(-6/7) = 0

x/7-x^-1+6/7 = 0

1/7*x^1-1*x^-1+6/7*x^0 = 0

(1/7*x^2+6/7*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(1/7*x^2+6/7*x^1-1*x^0) = 0

x^1

(1/7)*x^2+(6/7)*x-1 = 0

(1/7)*x^2+(6/7)*x-1 = 0

DELTA = (6/7)^2-(-1*4*(1/7))

DELTA = 64/49

DELTA > 0

x = ((64/49)^(1/2)-(6/7))/(2*(1/7)) or x = (-(6/7)-(64/49)^(1/2))/(2*(1/7))

x = 1 or x = -7

x in { -7, 1} 

x in { -7, 1 }

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