(4w^2-36)/w+3

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Solution for (4w^2-36)/w+3 equation: 


D( w )

w = 0

w = 0

w = 0

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

(4*w^2-36)/w+3 = 0

(4*w^2-36)/w+(3*w)/w = 0

4*w^2+3*w-36 = 0

4*w^2+3*w-36 = 0

4*w^2+3*w-36 = 0

DELTA = 3^2-(-36*4*4)

DELTA = 585

DELTA > 0

w = (585^(1/2)-3)/(2*4) or w = (-585^(1/2)-3)/(2*4)

w = (3*65^(1/2)-3)/8 or w = (-3*65^(1/2)-3)/8

(w-((-3*65^(1/2)-3)/8))*(w-((3*65^(1/2)-3)/8)) = 0

((w-((-3*65^(1/2)-3)/8))*(w-((3*65^(1/2)-3)/8)))/w = 0

((w-((-3*65^(1/2)-3)/8))*(w-((3*65^(1/2)-3)/8)))/w = 0 // * w

(w-((-3*65^(1/2)-3)/8))*(w-((3*65^(1/2)-3)/8)) = 0

( w-((-3*65^(1/2)-3)/8) )

w-((-3*65^(1/2)-3)/8) = 0 // + (-3*65^(1/2)-3)/8

w = (-3*65^(1/2)-3)/8

( w-((3*65^(1/2)-3)/8) )

w-((3*65^(1/2)-3)/8) = 0 // + (3*65^(1/2)-3)/8

w = (3*65^(1/2)-3)/8

w in { (-3*65^(1/2)-3)/8, (3*65^(1/2)-3)/8 }

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