5x-14=3/x

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Solution for 5x-14=3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-14 = 3/x // - 3/x

5*x-(3/x)-14 = 0

5*x-3*x^-1-14 = 0

5*x^1-3*x^-1-14*x^0 = 0

(5*x^2-14*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-14*x^1-3*x^0) = 0

x^1

5*x^2-14*x-3 = 0

5*x^2-14*x-3 = 0

DELTA = (-14)^2-(-3*4*5)

DELTA = 256

DELTA > 0

x = (256^(1/2)+14)/(2*5) or x = (14-256^(1/2))/(2*5)

x = 3 or x = -1/5

x in { -1/5, 3} 

x in { -1/5, 3 }

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