x+8/4=20/x

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Solution for x+8/4=20/x equation:


D( x )

x = 0

x = 0

x = 0

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

x+8/4 = 20/x // - 20/x

x-(20/x)+8/4 = 0

x-20*x^-1+8/4 = 0

1*x^1-20*x^-1+2*x^0 = 0

(1*x^2+2*x^1-20*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+2*x^1-20*x^0) = 0

x^1

x^2+2*x-20 = 0

x^2+2*x-20 = 0

DELTA = 2^2-(-20*1*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)-2)/(1*2) or x = (-84^(1/2)-2)/(1*2)

x = (2*21^(1/2)-2)/2 or x = (-2*21^(1/2)-2)/2

x in { (-2*21^(1/2)-2)/2, (2*21^(1/2)-2)/2}

x in { (-2*21^(1/2)-2)/2, (2*21^(1/2)-2)/2 }

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