w/w^2-6w-7

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Solution for w/w^2-6w-7 equation:


D( w )

w^2 = 0

w^2 = 0

w^2 = 0

1*w^2 = 0 // : 1

w^2 = 0

w = 0

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

w/(w^2)-(6*w)-7 = 0

w/(w^2)-6*w-7 = 0

1*w^-1-6*w^1-7*w^0 = 0

(1*w^0-6*w^2-7*w^1)/(w^1) = 0 // * w^2

w^1*(1*w^0-6*w^2-7*w^1) = 0

w^1

1-6*w^2-7*w = 0

1-6*w^2-7*w = 0

DELTA = (-7)^2-(-6*1*4)

DELTA = 73

DELTA > 0

w = (73^(1/2)+7)/(-6*2) or w = (7-73^(1/2))/(-6*2)

w = (73^(1/2)+7)/(-12) or w = (7-73^(1/2))/(-12)

w in { (73^(1/2)+7)/(-12), (7-73^(1/2))/(-12)}

w in { (73^(1/2)+7)/(-12), (7-73^(1/2))/(-12) }

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