1/x-x=7/12

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Solution for 1/x-x=7/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-x = 7/12 // - 7/12

1/x-x-(7/12) = 0

1/x-x-7/12 = 0

1*x^-1-1*x^1-7/12*x^0 = 0

(1*x^0-1*x^2-7/12*x^1)/(x^1) = 0 // * x^2

x^1*(1*x^0-1*x^2-7/12*x^1) = 0

x^1

(-7/12)*x-x^2+1 = 0

(-7/12)*x-x^2+1 = 0

DELTA = (-7/12)^2-(-1*1*4)

DELTA = 625/144

DELTA > 0

x = ((625/144)^(1/2)-(-7/12))/(-1*2) or x = (-(-7/12)-(625/144)^(1/2))/(-1*2)

x = -4/3 or x = 3/4

x in { -4/3, 3/4} 

x in { -4/3, 3/4 }

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