7x-12/x+3

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Solution for 7x-12/x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

7*x-(12/x)+3 = 0

7*x-12*x^-1+3 = 0

7*x^1-12*x^-1+3*x^0 = 0

(7*x^2+3*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2+3*x^1-12*x^0) = 0

x^1

7*x^2+3*x-12 = 0

7*x^2+3*x-12 = 0

DELTA = 3^2-(-12*4*7)

DELTA = 345

DELTA > 0

x = (345^(1/2)-3)/(2*7) or x = (-345^(1/2)-3)/(2*7)

x = (345^(1/2)-3)/14 or x = (-(345^(1/2)+3))/14

x in { (-(345^(1/2)+3))/14, (345^(1/2)-3)/14}

x in { (-(345^(1/2)+3))/14, (345^(1/2)-3)/14 }

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