(8/a)-16=(16/3a)

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Solution for (8/a)-16=(16/3a) equation:


D( a )

a = 0

a = 0

a = 0

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

8/a-16 = (16/3)*a // - (16/3)*a

8/a-((16/3)*a)-16 = 0

(-16/3)*a+8/a-16 = 0

8*a^-1-16/3*a^1-16*a^0 = 0

(8*a^0-16/3*a^2-16*a^1)/(a^1) = 0 // * a^2

a^1*(8*a^0-16/3*a^2-16*a^1) = 0

a^1

(-16/3)*a^2-16*a+8 = 0

(-16/3)*a^2-16*a+8 = 0

DELTA = (-16)^2-(4*8*(-16/3))

DELTA = 1280/3

DELTA > 0

a = ((1280/3)^(1/2)+16)/(2*(-16/3)) or a = (16-(1280/3)^(1/2))/(2*(-16/3))

a = -3/32*((1280/3)^(1/2)+16) or a = -3/32*(16-(1280/3)^(1/2))

a in { -3/32*((1280/3)^(1/2)+16), -3/32*(16-(1280/3)^(1/2))}

a in { -3/32*((1280/3)^(1/2)+16), -3/32*(16-(1280/3)^(1/2)) }

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