2a+5/a-2=6

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Solution for 2a+5/a-2=6 equation: 


D( a )

a = 0

a = 0

a = 0

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

2*a+5/a-2 = 6 // - 6

2*a+5/a-6-2 = 0

2*a^1+5*a^-1-8*a^0 = 0

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

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

a^1

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

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

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

DELTA = 24

DELTA > 0

a = (24^(1/2)+8)/(2*2) or a = (8-24^(1/2))/(2*2)

a = (2*6^(1/2)+8)/4 or a = (8-2*6^(1/2))/4

a in { (8-2*6^(1/2))/4, (2*6^(1/2)+8)/4} 

a in { (8-2*6^(1/2))/4, (2*6^(1/2)+8)/4 }

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