10+2Q=100/Q+10+Q

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Solution for 10+2Q=100/Q+10+Q equation: 


D( Q )

Q = 0

Q = 0

Q = 0

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

2*Q+10 = Q+100/Q+10 // - Q+100/Q+10

2*Q-Q-(100/Q)-10+10 = 0

2*Q-Q-100*Q^-1-10+10 = 0

1*Q^1-100*Q^-1 = 0

(1*Q^2-100*Q^0)/(Q^1) = 0 // * Q^2

Q^1*(1*Q^2-100*Q^0) = 0

Q^1

Q^2-100 = 0

Q^2-100 = 0

DELTA = 0^2-(-100*1*4)

DELTA = 400

DELTA > 0

Q = (400^(1/2)+0)/(1*2) or Q = (0-400^(1/2))/(1*2)

Q = 10 or Q = -10

Q in { -10, 10} 

Q in { -10, 10 }

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