4g/14-3/g-9/14=3/14

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Solution for 4g/14-3/g-9/14=3/14 equation: 


D( g )

g = 0

g = 0

g = 0

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

(4*g)/14-(3/g)-(9/14) = 3/14 // - 3/14

(4*g)/14-(3/g)-(9/14)-(3/14) = 0

(4*g)/14-3*g^-1-9/14-3/14 = 0

2/7*g^1-3*g^-1-6/7*g^0 = 0

(2/7*g^2-6/7*g^1-3*g^0)/(g^1) = 0 // * g^2

g^1*(2/7*g^2-6/7*g^1-3*g^0) = 0

g^1

(2/7)*g^2+(-6/7)*g-3 = 0

(2/7)*g^2+(-6/7)*g-3 = 0

DELTA = (-6/7)^2-(-3*4*(2/7))

DELTA = 204/49

DELTA > 0

g = ((204/49)^(1/2)-(-6/7))/(2*(2/7)) or g = (-(-6/7)-(204/49)^(1/2))/(2*(2/7))

g = 7/4*((204/49)^(1/2)+6/7) or g = 7/4*(6/7-(204/49)^(1/2))

g in { 7/4*(6/7-(204/49)^(1/2)), 7/4*((204/49)^(1/2)+6/7)} 

g in { 7/4*(6/7-(204/49)^(1/2)), 7/4*((204/49)^(1/2)+6/7) }

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