2q=8/q

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Solution for 2q=8/q equation:


D( q )

q = 0

q = 0

q = 0

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

2*q = 8/q // - 8/q

2*q-(8/q) = 0

2*q-8*q^-1 = 0

2*q^1-8*q^-1 = 0

(2*q^2-8*q^0)/(q^1) = 0 // * q^2

q^1*(2*q^2-8*q^0) = 0

q^1

2*q^2-8 = 0

2*q^2-8 = 0

DELTA = 0^2-(-8*2*4)

DELTA = 64

DELTA > 0

q = (64^(1/2)+0)/(2*2) or q = (0-64^(1/2))/(2*2)

q = 2 or q = -2

q in { -2, 2}

q in { -2, 2 }

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