8a-5/a-4

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Solution for 8a-5/a-4 equation: 


D( a )

a = 0

a = 0

a = 0

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

8*a-(5/a)-4 = 0

8*a-5*a^-1-4 = 0

8*a^1-5*a^-1-4*a^0 = 0

(8*a^2-4*a^1-5*a^0)/(a^1) = 0 // * a^2

a^1*(8*a^2-4*a^1-5*a^0) = 0

a^1

8*a^2-4*a-5 = 0

8*a^2-4*a-5 = 0

DELTA = (-4)^2-(-5*4*8)

DELTA = 176

DELTA > 0

a = (176^(1/2)+4)/(2*8) or a = (4-176^(1/2))/(2*8)

a = (4*11^(1/2)+4)/16 or a = (4-4*11^(1/2))/16

a in { (4-4*11^(1/2))/16, (4*11^(1/2)+4)/16} 

a in { (4-4*11^(1/2))/16, (4*11^(1/2)+4)/16 }

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