q-5/q+5

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Solution for q-5/q+5 equation: 


D( q )

q = 0

q = 0

q = 0

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

q-(5/q)+5 = 0

q-5*q^-1+5 = 0

1*q^1-5*q^-1+5*q^0 = 0

(1*q^2+5*q^1-5*q^0)/(q^1) = 0 // * q^2

q^1*(1*q^2+5*q^1-5*q^0) = 0

q^1

q^2+5*q-5 = 0

q^2+5*q-5 = 0

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

DELTA = 45

DELTA > 0

q = (45^(1/2)-5)/(1*2) or q = (-45^(1/2)-5)/(1*2)

q = (3*5^(1/2)-5)/2 or q = (-3*5^(1/2)-5)/2

q in { (-3*5^(1/2)-5)/2, (3*5^(1/2)-5)/2} 

q in { (-3*5^(1/2)-5)/2, (3*5^(1/2)-5)/2 }

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