(-3/4x+24)+2=-1/x+6

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Solution for (-3/4x+24)+2=-1/x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

(-3/4)*x+2+24 = 6-1/x // - 6-1/x

(-3/4)*x-(-1/x)-6+2+24 = 0

(-3/4)*x+x^-1-6+2+24 = 0

1*x^-1-3/4*x^1+20*x^0 = 0

(20*x^1-3/4*x^2+1*x^0)/(x^1) = 0 // * x^2

x^1*(20*x^1-3/4*x^2+1*x^0) = 0

x^1

(-3/4)*x^2+20*x+1 = 0

(-3/4)*x^2+20*x+1 = 0

DELTA = 20^2-(1*4*(-3/4))

DELTA = 403

DELTA > 0

x = (403^(1/2)-20)/(2*(-3/4)) or x = (-403^(1/2)-20)/(2*(-3/4))

x = -2/3*(403^(1/2)-20) or x = 2/3*(403^(1/2)+20)

x in { -2/3*(403^(1/2)-20), 2/3*(403^(1/2)+20)} 

x in { -2/3*(403^(1/2)-20), 2/3*(403^(1/2)+20) }

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