a-5/a-7

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Solution for a-5/a-7 equation: 


D( a )

a = 0

a = 0

a = 0

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

a-(5/a)-7 = 0

a-5*a^-1-7 = 0

1*a^1-5*a^-1-7*a^0 = 0

(1*a^2-7*a^1-5*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-7*a^1-5*a^0) = 0

a^1

a^2-7*a-5 = 0

a^2-7*a-5 = 0

DELTA = (-7)^2-(-5*1*4)

DELTA = 69

DELTA > 0

a = (69^(1/2)+7)/(1*2) or a = (7-69^(1/2))/(1*2)

a = (69^(1/2)+7)/2 or a = (7-69^(1/2))/2

a in { (7-69^(1/2))/2, (69^(1/2)+7)/2} 

a in { (7-69^(1/2))/2, (69^(1/2)+7)/2 }

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