7x-12/x+5

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Solution for 7x-12/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x-(12/x)+5 = 0

7*x-12*x^-1+5 = 0

7*x^1-12*x^-1+5*x^0 = 0

(7*x^2+5*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2+5*x^1-12*x^0) = 0

x^1

7*x^2+5*x-12 = 0

7*x^2+5*x-12 = 0

DELTA = 5^2-(-12*4*7)

DELTA = 361

DELTA > 0

x = (361^(1/2)-5)/(2*7) or x = (-361^(1/2)-5)/(2*7)

x = 1 or x = -12/7

x in { -12/7, 1} 

x in { -12/7, 1 }

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