2q-8=5/q

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Solution for 2q-8=5/q equation: 


D( q )

q = 0

q = 0

q = 0

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

2*q-8 = 5/q // - 5/q

2*q-(5/q)-8 = 0

2*q-5*q^-1-8 = 0

2*q^1-5*q^-1-8*q^0 = 0

(2*q^2-8*q^1-5*q^0)/(q^1) = 0 // * q^2

q^1*(2*q^2-8*q^1-5*q^0) = 0

q^1

2*q^2-8*q-5 = 0

2*q^2-8*q-5 = 0

DELTA = (-8)^2-(-5*2*4)

DELTA = 104

DELTA > 0

q = (104^(1/2)+8)/(2*2) or q = (8-104^(1/2))/(2*2)

q = (2*26^(1/2)+8)/4 or q = (8-2*26^(1/2))/4

q in { (8-2*26^(1/2))/4, (2*26^(1/2)+8)/4} 

q in { (8-2*26^(1/2))/4, (2*26^(1/2)+8)/4 }

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