1/x-7/3-x=1/7

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Solution for 1/x-7/3-x=1/7 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1*x^-1-1*x^1-52/21*x^0 = 0

(1*x^0-1*x^2-52/21*x^1)/(x^1) = 0 // * x^2

x^1*(1*x^0-1*x^2-52/21*x^1) = 0

x^1

(-52/21)*x-x^2+1 = 0

(-52/21)*x-x^2+1 = 0

DELTA = (-52/21)^2-(-1*1*4)

DELTA = 4468/441

DELTA > 0

x = ((4468/441)^(1/2)-(-52/21))/(-1*2) or x = (-(-52/21)-(4468/441)^(1/2))/(-1*2)

x = ((4468/441)^(1/2)+52/21)/(-2) or x = (52/21-(4468/441)^(1/2))/(-2)

x in { ((4468/441)^(1/2)+52/21)/(-2), (52/21-(4468/441)^(1/2))/(-2)}

x in { ((4468/441)^(1/2)+52/21)/(-2), (52/21-(4468/441)^(1/2))/(-2) }

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