4/q=2q-6/2

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Solution for 4/q=2q-6/2 equation: 


D( q )

q = 0

q = 0

q = 0

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

4/q = 2*q-(6/2) // - 2*q-(6/2)

4/q-(2*q)+6/2 = 0

4/q-2*q+6/2 = 0

4*q^-1-2*q^1+3*q^0 = 0

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

q^1*(3*q^1-2*q^2+4*q^0) = 0

q^1

3*q-2*q^2+4 = 0

3*q-2*q^2+4 = 0

DELTA = 3^2-(-2*4*4)

DELTA = 41

DELTA > 0

q = (41^(1/2)-3)/(-2*2) or q = (-41^(1/2)-3)/(-2*2)

q = (41^(1/2)-3)/(-4) or q = (41^(1/2)+3)/4

q in { (41^(1/2)-3)/(-4), (41^(1/2)+3)/4} 

q in { (41^(1/2)-3)/(-4), (41^(1/2)+3)/4 }

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