(a^2+13)/a=2a

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Solution for (a^2+13)/a=2a equation:


D( a )

a = 0

a = 0

a = 0

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

(a^2+13)/a = 2*a // - 2*a

(a^2+13)/a-(2*a) = 0

(a^2+13)/a-2*a = 0

(a^2+13)/a+(-2*a*a)/a = 0

a^2-2*a*a+13 = 0

13-a^2 = 0

(13-a^2)/a = 0

(13-a^2)/a = 0 // * a

13-a^2 = 0

-1*a^2 = -13 // : -1

a^2 = 13

a^2 = 13 // ^ 1/2

abs(a) = 13^(1/2)

a = 13^(1/2) or a = -13^(1/2)

a in { 13^(1/2), -13^(1/2) }

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