(46/(10x))-x=10

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Solution for (46/(10x))-x=10 equation:


D( x )

10*x = 0

10*x = 0

10*x = 0

10*x = 0 // : 10

x = 0

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

46/(10*x)-x = 10 // - 10

46/(10*x)-x-10 = 0

23/5*x^-1-1*x^1-10*x^0 = 0

(23/5*x^0-1*x^2-10*x^1)/(x^1) = 0 // * x^2

x^1*(23/5*x^0-1*x^2-10*x^1) = 0

x^1

23/5-x^2-10*x = 0

23/5-x^2-10*x = 0

DELTA = (-10)^2-(-1*4*(23/5))

DELTA = 592/5

DELTA > 0

x = ((592/5)^(1/2)+10)/(-1*2) or x = (10-(592/5)^(1/2))/(-1*2)

x = ((592/5)^(1/2)+10)/(-2) or x = (10-(592/5)^(1/2))/(-2)

x in { ((592/5)^(1/2)+10)/(-2), (10-(592/5)^(1/2))/(-2)}

x in { ((592/5)^(1/2)+10)/(-2), (10-(592/5)^(1/2))/(-2) }

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