54/q=15-q

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Solution for 54/q=15-q equation: 


D( q )

q = 0

q = 0

q = 0

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

54/q = 15-q // - 15-q

q+54/q-15 = 0

1*q^1+54*q^-1-15*q^0 = 0

(1*q^2-15*q^1+54*q^0)/(q^1) = 0 // * q^2

q^1*(1*q^2-15*q^1+54*q^0) = 0

q^1

q^2-15*q+54 = 0

q^2-15*q+54 = 0

DELTA = (-15)^2-(1*4*54)

DELTA = 9

DELTA > 0

q = (9^(1/2)+15)/(1*2) or q = (15-9^(1/2))/(1*2)

q = 9 or q = 6

q in { 6, 9} 

q in { 6, 9 }

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