(45-5w^2)/(w^2+3w-18)

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Solution for (45-5w^2)/(w^2+3w-18) equation: 


D( w )

w^2+3*w-18 = 0

w^2+3*w-18 = 0

w^2+3*w-18 = 0

w^2+3*w-18 = 0

DELTA = 3^2-(-18*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)-3)/(1*2) or w = (-81^(1/2)-3)/(1*2)

w = 3 or w = -6

w in (-oo:-6) U (-6:3) U (3:+oo)

(45-(5*w^2))/(w^2+3*w-18) = 0

(45-5*w^2)/(w^2+3*w-18) = 0

w^2+3*w-18 = 0

w^2+3*w-18 = 0

DELTA = 3^2-(-18*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)-3)/(1*2) or w = (-81^(1/2)-3)/(1*2)

w = 3 or w = -6

(w+6)*(w-3) = 0

(45-5*w^2)/((w+6)*(w-3)) = 0

-5*w^2 = -45 // : -5

w^2 = 9

w^2 = 9 // ^ 1/2

abs(w) = 3

w = 3 or w = -3

w in { 3} 

w = -3

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