(2/a)-4=4/3a

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Solution for (2/a)-4=4/3a equation:


D( a )

a = 0

a = 0

a = 0

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

2/a-4 = (4/3)*a // - (4/3)*a

2/a-((4/3)*a)-4 = 0

(-4/3)*a+2/a-4 = 0

2*a^-1-4/3*a^1-4*a^0 = 0

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

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

a^1

(-4/3)*a^2-4*a+2 = 0

(-4/3)*a^2-4*a+2 = 0

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

DELTA = 80/3

DELTA > 0

a = ((80/3)^(1/2)+4)/(2*(-4/3)) or a = (4-(80/3)^(1/2))/(2*(-4/3))

a = -3/8*((80/3)^(1/2)+4) or a = -3/8*(4-(80/3)^(1/2))

a in { -3/8*((80/3)^(1/2)+4), -3/8*(4-(80/3)^(1/2))}

a in { -3/8*((80/3)^(1/2)+4), -3/8*(4-(80/3)^(1/2)) }

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