120q=45/q

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Solution for 120q=45/q equation: 


D( q )

q = 0

q = 0

q = 0

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

120*q = 45/q // - 45/q

120*q-(45/q) = 0

120*q-45*q^-1 = 0

120*q^1-45*q^-1 = 0

(120*q^2-45*q^0)/(q^1) = 0 // * q^2

q^1*(120*q^2-45*q^0) = 0

q^1

120*q^2-45 = 0

120*q^2-45 = 0

DELTA = 0^2-(-45*4*120)

DELTA = 21600

DELTA > 0

q = (21600^(1/2)+0)/(2*120) or q = (0-21600^(1/2))/(2*120)

q = (1*6^(1/2))/4 or q = (-6^(1/2))/4

q in { (-6^(1/2))/4, (1*6^(1/2))/4} 

q in { (-6^(1/2))/4, (1*6^(1/2))/4 }

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