10x-2x=14/x

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Solution for 10x-2x=14/x equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(2*x) = 14/x // - 14/x

10*x-(2*x)-(14/x) = 0

10*x-2*x-14*x^-1 = 0

8*x^1-14*x^-1 = 0

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

x^1*(8*x^2-14*x^0) = 0

x^1

8*x^2-14 = 0

8*x^2-14 = 0

DELTA = 0^2-(-14*4*8)

DELTA = 448

DELTA > 0

x = (448^(1/2)+0)/(2*8) or x = (0-448^(1/2))/(2*8)

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

x in { (-7^(1/2))/2, (1*7^(1/2))/2} 

x in { (-7^(1/2))/2, (1*7^(1/2))/2 }

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