(2a-1)=a+7/a+1

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Solution for (2a-1)=a+7/a+1 equation: 


D( a )

a = 0

a = 0

a = 0

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

2*a-1 = a+7/a+1 // - a+7/a+1

2*a-a-(7/a)-1-1 = 0

2*a-a-7*a^-1-1-1 = 0

1*a^1-7*a^-1-2*a^0 = 0

(1*a^2-2*a^1-7*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-2*a^1-7*a^0) = 0

a^1

a^2-2*a-7 = 0

a^2-2*a-7 = 0

DELTA = (-2)^2-(-7*1*4)

DELTA = 32

DELTA > 0

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

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

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

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

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