400-40q+q^2/20

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Solution for 400-40q+q^2/20 equation:


q in (-oo:+oo)

(q^2)/20-(40*q)+400 = 0

(q^2)/20-40*q+400 = 0

1/20*q^2-40*q+400 = 0

DELTA = (-40)^2-(1/20*4*400)

DELTA = 1520

DELTA > 0

q = (1520^(1/2)+40)/(1/20*2) or q = (40-1520^(1/2))/(1/20*2)

q = 10*(4*95^(1/2)+40) or q = 10*(40-4*95^(1/2))

q in { 10*(40-4*95^(1/2)), 10*(4*95^(1/2)+40) }

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