(5w^2-10w-175)/(w^2-5w-14)

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Solution for (5w^2-10w-175)/(w^2-5w-14) equation:


D( w )

w^2-(5*w)-14 = 0

w^2-(5*w)-14 = 0

w^2-(5*w)-14 = 0

w^2-5*w-14 = 0

w^2-5*w-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)+5)/(1*2) or w = (5-81^(1/2))/(1*2)

w = 7 or w = -2

w in (-oo:-2) U (-2:7) U (7:+oo)

(5*w^2-(10*w)-175)/(w^2-(5*w)-14) = 0

(5*w^2-10*w-175)/(w^2-5*w-14) = 0

5*w^2-10*w-175 = 0

5*(w^2-2*w-35) = 0

w^2-2*w-35 = 0

DELTA = (-2)^2-(-35*1*4)

DELTA = 144

DELTA > 0

w = (144^(1/2)+2)/(1*2) or w = (2-144^(1/2))/(1*2)

w = 7 or w = -5

5*(w+5)*(w-7) = 0

w^2-5*w-14 = 0

w^2-5*w-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)+5)/(1*2) or w = (5-81^(1/2))/(1*2)

w = 7 or w = -2

(w+2)*(w-7) = 0

(5*(w+5)*(w-7))/((w+2)*(w-7)) = 0

( w+5 )

w+5 = 0 // - 5

w = -5

( w-7 )

w-7 = 0 // + 7

w = 7

w in { 7}

w = -5

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