1+28/x^2-4-7/x-2=0

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Solution for 1+28/x^2-4-7/x-2=0 equation:


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

28/(x^2)-(7/x)-4-2+1 = 0

28/(x^2)-7*x^-1-4-2+1 = 0

28*x^-2-7*x^-1-5 = 0

t_1 = x^-1

28*t_1^2-7*t_1^1-5 = 0

28*t_1^2-7*t_1-5 = 0

DELTA = (-7)^2-(-5*4*28)

DELTA = 609

DELTA > 0

t_1 = (609^(1/2)+7)/(2*28) or t_1 = (7-609^(1/2))/(2*28)

t_1 = (609^(1/2)+7)/56 or t_1 = (7-609^(1/2))/56

t_1 = (7-609^(1/2))/56

x^-1-((7-609^(1/2))/56) = 0

1*x^-1 = (7-609^(1/2))/56 // : 1

x^-1 = (7-609^(1/2))/56

-1 < 0

1/(x^1) = (7-609^(1/2))/56 // * x^1

1 = ((7-609^(1/2))/56)*x^1 // : (7-609^(1/2))/56

56*(7-609^(1/2))^-1 = x^1

x = 56*(7-609^(1/2))^-1

t_1 = (609^(1/2)+7)/56

x^-1-((609^(1/2)+7)/56) = 0

1*x^-1 = (609^(1/2)+7)/56 // : 1

x^-1 = (609^(1/2)+7)/56

-1 < 0

1/(x^1) = (609^(1/2)+7)/56 // * x^1

1 = ((609^(1/2)+7)/56)*x^1 // : (609^(1/2)+7)/56

56*(609^(1/2)+7)^-1 = x^1

x = 56*(609^(1/2)+7)^-1

x in { 56*(7-609^(1/2))^-1, 56*(609^(1/2)+7)^-1 }

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