7q-2=4/q

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Solution for 7q-2=4/q equation: 


D( q )

q = 0

q = 0

q = 0

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

7*q-2 = 4/q // - 4/q

7*q-(4/q)-2 = 0

7*q-4*q^-1-2 = 0

7*q^1-4*q^-1-2*q^0 = 0

(7*q^2-2*q^1-4*q^0)/(q^1) = 0 // * q^2

q^1*(7*q^2-2*q^1-4*q^0) = 0

q^1

7*q^2-2*q-4 = 0

7*q^2-2*q-4 = 0

DELTA = (-2)^2-(-4*4*7)

DELTA = 116

DELTA > 0

q = (116^(1/2)+2)/(2*7) or q = (2-116^(1/2))/(2*7)

q = (2*29^(1/2)+2)/14 or q = (2-2*29^(1/2))/14

q in { (2-2*29^(1/2))/14, (2*29^(1/2)+2)/14} 

q in { (2-2*29^(1/2))/14, (2*29^(1/2)+2)/14 }

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