8/x-5x=4

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Solution for 8/x-5x=4 equation:


D( x )

x = 0

x = 0

x = 0

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

8/x-(5*x) = 4 // - 4

8/x-(5*x)-4 = 0

8/x-5*x-4 = 0

8*x^-1-5*x^1-4*x^0 = 0

(8*x^0-5*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(8*x^0-5*x^2-4*x^1) = 0

x^1

8-5*x^2-4*x = 0

8-5*x^2-4*x = 0

DELTA = (-4)^2-(-5*4*8)

DELTA = 176

DELTA > 0

x = (176^(1/2)+4)/(-5*2) or x = (4-176^(1/2))/(-5*2)

x = (4*11^(1/2)+4)/(-10) or x = (4-4*11^(1/2))/(-10)

x in { (4*11^(1/2)+4)/(-10), (4-4*11^(1/2))/(-10)}

x in { (4*11^(1/2)+4)/(-10), (4-4*11^(1/2))/(-10) }

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