6/a=2/10+a

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Solution for 6/a=2/10+a equation:


D( a )

a = 0

a = 0

a = 0

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

6/a = a+2/10 // - a+2/10

6/a-a-(2/10) = 0

6/a-a-1/5 = 0

6*a^-1-1*a^1-1/5*a^0 = 0

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

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

a^1

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

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

DELTA = (-1/5)^2-(-1*4*6)

DELTA = 601/25

DELTA > 0

a = ((601/25)^(1/2)-(-1/5))/(-1*2) or a = (-(-1/5)-(601/25)^(1/2))/(-1*2)

a = ((601/25)^(1/2)+1/5)/(-2) or a = (1/5-(601/25)^(1/2))/(-2)

a in { ((601/25)^(1/2)+1/5)/(-2), (1/5-(601/25)^(1/2))/(-2)}

a in { ((601/25)^(1/2)+1/5)/(-2), (1/5-(601/25)^(1/2))/(-2) }

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