Q/2+12/Q=5

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Solution for Q/2+12/Q=5 equation: 


D( Q )

Q = 0

Q = 0

Q = 0

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

Q/2+12/Q = 5 // - 5

Q/2+12/Q-5 = 0

1/2*Q^1+12*Q^-1-5*Q^0 = 0

(1/2*Q^2-5*Q^1+12*Q^0)/(Q^1) = 0 // * Q^2

Q^1*(1/2*Q^2-5*Q^1+12*Q^0) = 0

Q^1

(1/2)*Q^2-5*Q+12 = 0

(1/2)*Q^2-5*Q+12 = 0

DELTA = (-5)^2-(4*12*(1/2))

DELTA = 1

DELTA > 0

Q = (1^(1/2)+5)/(2*(1/2)) or Q = (5-1^(1/2))/(2*(1/2))

Q = 6 or Q = 4

Q in { 4, 6} 

Q in { 4, 6 }

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