5/2w-1/w=3/4

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Solution for 5/2w-1/w=3/4 equation: 


D( w )

w = 0

w = 0

w = 0

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

(5/2)*w-(1/w) = 3/4 // - 3/4

(5/2)*w-(1/w)-(3/4) = 0

(5/2)*w-w^-1-3/4 = 0

5/2*w^1-1*w^-1-3/4*w^0 = 0

(5/2*w^2-3/4*w^1-1*w^0)/(w^1) = 0 // * w^2

w^1*(5/2*w^2-3/4*w^1-1*w^0) = 0

w^1

(5/2)*w^2+(-3/4)*w-1 = 0

(5/2)*w^2+(-3/4)*w-1 = 0

DELTA = (-3/4)^2-(-1*4*(5/2))

DELTA = 169/16

DELTA > 0

w = ((169/16)^(1/2)-(-3/4))/(2*(5/2)) or w = (-(-3/4)-(169/16)^(1/2))/(2*(5/2))

w = 4/5 or w = -1/2

w in { -1/2, 4/5} 

w in { -1/2, 4/5 }

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