4x/5=8/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 128/5

DELTA > 0

x = ((128/5)^(1/2)+0)/(2*(4/5)) or x = (0-(128/5)^(1/2))/(2*(4/5))

x = 5/8*(128/5)^(1/2) or x = 5/8*(128/5)^(1/2)

x in { 5/8*(128/5)^(1/2), 5/8*(128/5)^(1/2)}

x in { 5/8*(128/5)^(1/2), 5/8*(128/5)^(1/2) }

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