1/x-7=2x

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Solution for 1/x-7=2x equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-7 = 2*x // - 2*x

1/x-(2*x)-7 = 0

1/x-2*x-7 = 0

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

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

x^1*(1*x^0-2*x^2-7*x^1) = 0

x^1

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

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

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

DELTA = 57

DELTA > 0

x = (57^(1/2)+7)/(-2*2) or x = (7-57^(1/2))/(-2*2)

x = (57^(1/2)+7)/(-4) or x = (7-57^(1/2))/(-4)

x in { (57^(1/2)+7)/(-4), (7-57^(1/2))/(-4)} 

x in { (57^(1/2)+7)/(-4), (7-57^(1/2))/(-4) }

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