q+(7/q)=8

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Solution for q+(7/q)=8 equation: 


D( q )

q = 0

q = 0

q = 0

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

q+7/q = 8 // - 8

q+7/q-8 = 0

1*q^1+7*q^-1-8*q^0 = 0

(1*q^2-8*q^1+7*q^0)/(q^1) = 0 // * q^2

q^1*(1*q^2-8*q^1+7*q^0) = 0

q^1

q^2-8*q+7 = 0

q^2-8*q+7 = 0

DELTA = (-8)^2-(1*4*7)

DELTA = 36

DELTA > 0

q = (36^(1/2)+8)/(1*2) or q = (8-36^(1/2))/(1*2)

q = 7 or q = 1

q in { 1, 7} 

q in { 1, 7 }

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