x+2/x-4=7/4

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Solution for x+2/x-4=7/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+2/x-4 = 7/4 // - 7/4

x+2/x-(7/4)-4 = 0

x+2/x-7/4-4 = 0

1*x^1+2*x^-1-23/4*x^0 = 0

(1*x^2-23/4*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-23/4*x^1+2*x^0) = 0

x^1

x^2+(-23/4)*x+2 = 0

x^2+(-23/4)*x+2 = 0

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

DELTA = 401/16

DELTA > 0

x = ((401/16)^(1/2)-(-23/4))/(1*2) or x = (-(-23/4)-(401/16)^(1/2))/(1*2)

x = ((401/16)^(1/2)+23/4)/2 or x = (23/4-(401/16)^(1/2))/2

x in { (23/4-(401/16)^(1/2))/2, ((401/16)^(1/2)+23/4)/2} 

x in { (23/4-(401/16)^(1/2))/2, ((401/16)^(1/2)+23/4)/2 }

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