3/a+5/6a=4

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Solution for 3/a+5/6a=4 equation: 


D( a )

a = 0

a = 0

a = 0

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

(5/6)*a+3/a = 4 // - 4

(5/6)*a+3/a-4 = 0

5/6*a^1+3*a^-1-4*a^0 = 0

(5/6*a^2-4*a^1+3*a^0)/(a^1) = 0 // * a^2

a^1*(5/6*a^2-4*a^1+3*a^0) = 0

a^1

(5/6)*a^2-4*a+3 = 0

(5/6)*a^2-4*a+3 = 0

DELTA = (-4)^2-(3*4*(5/6))

DELTA = 6

DELTA > 0

a = (6^(1/2)+4)/(2*(5/6)) or a = (4-6^(1/2))/(2*(5/6))

a = 3/5*(6^(1/2)+4) or a = 3/5*(4-6^(1/2))

a in { 3/5*(4-6^(1/2)), 3/5*(6^(1/2)+4)} 

a in { 3/5*(4-6^(1/2)), 3/5*(6^(1/2)+4) }

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