3/a=a/27

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Solution for 3/a=a/27 equation:


D( a )

a = 0

a = 0

a = 0

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

3/a = a/27 // - a/27

3/a-(a/27) = 0

3*a^-1-1/27*a^1 = 0

(3*a^0-1/27*a^2)/(a^1) = 0 // * a^2

a^1*(3*a^0-1/27*a^2) = 0

a^1

(-1/27)*a^2+3 = 0

(-1/27)*a^2+3 = 0

DELTA = 0^2-(3*4*(-1/27))

DELTA = 4/9

DELTA > 0

a = ((4/9)^(1/2)+0)/(2*(-1/27)) or a = (0-(4/9)^(1/2))/(2*(-1/27))

a = -9 or a = 9

a in { -9, 9}

a in { -9, 9 }

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