30x-10=40/x

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Solution for 30x-10=40/x equation:


D( x )

x = 0

x = 0

x = 0

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

30*x-10 = 40/x // - 40/x

30*x-(40/x)-10 = 0

30*x-40*x^-1-10 = 0

30*x^1-40*x^-1-10*x^0 = 0

(30*x^2-10*x^1-40*x^0)/(x^1) = 0 // * x^2

x^1*(30*x^2-10*x^1-40*x^0) = 0

x^1

30*x^2-10*x-40 = 0

30*x^2-10*x-40 = 0

DELTA = (-10)^2-(-40*4*30)

DELTA = 4900

DELTA > 0

x = (4900^(1/2)+10)/(2*30) or x = (10-4900^(1/2))/(2*30)

x = 4/3 or x = -1

x in { -1, 4/3}

x in { -1, 4/3 }

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