x-4/x=21/5

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Solution for x-4/x=21/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(4/x) = 21/5 // - 21/5

x-(4/x)-(21/5) = 0

x-4*x^-1-21/5 = 0

1*x^1-4*x^-1-21/5*x^0 = 0

(1*x^2-21/5*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-21/5*x^1-4*x^0) = 0

x^1

x^2+(-21/5)*x-4 = 0

x^2+(-21/5)*x-4 = 0

DELTA = (-21/5)^2-(-4*1*4)

DELTA = 841/25

DELTA > 0

x = ((841/25)^(1/2)-(-21/5))/(1*2) or x = (-(-21/5)-(841/25)^(1/2))/(1*2)

x = 5 or x = -4/5

x in { -4/5, 5} 

x in { -4/5, 5 }

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