a/3-1/a=8a+7/24

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Solution for a/3-1/a=8a+7/24 equation: 


D( a )

a = 0

a = 0

a = 0

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

a/3-(1/a) = 8*a+7/24 // - 8*a+7/24

a/3-(8*a)-(1/a)-(7/24) = 0

a/3-8*a-a^-1-7/24 = 0

-23/3*a^1-1*a^-1-7/24*a^0 = 0

(-23/3*a^2-7/24*a^1-1*a^0)/(a^1) = 0 // * a^2

a^1*(-23/3*a^2-7/24*a^1-1*a^0) = 0

a^1

(-23/3)*a^2+(-7/24)*a-1 = 0

(-23/3)*a^2+(-7/24)*a-1 = 0

DELTA = (-7/24)^2-(-1*4*(-23/3))

DELTA = -17615/576

DELTA < 0

a in { } 

a belongs to the empty set

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