7x-12/x+2

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Solution for 7x-12/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

7*x-12*x^-1+2 = 0

7*x^1-12*x^-1+2*x^0 = 0

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

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

x^1

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

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

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

DELTA = 340

DELTA > 0

x = (340^(1/2)-2)/(2*7) or x = (-340^(1/2)-2)/(2*7)

x = (2*85^(1/2)-2)/14 or x = (-2*85^(1/2)-2)/14

x in { (-2*85^(1/2)-2)/14, (2*85^(1/2)-2)/14} 

x in { (-2*85^(1/2)-2)/14, (2*85^(1/2)-2)/14 }

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