5/8a+6=34/a

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Solution for 5/8a+6=34/a equation: 


D( a )

a = 0

a = 0

a = 0

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

(5/8)*a+6 = 34/a // - 34/a

(5/8)*a-(34/a)+6 = 0

(5/8)*a-34*a^-1+6 = 0

5/8*a^1-34*a^-1+6*a^0 = 0

(5/8*a^2+6*a^1-34*a^0)/(a^1) = 0 // * a^2

a^1*(5/8*a^2+6*a^1-34*a^0) = 0

a^1

(5/8)*a^2+6*a-34 = 0

(5/8)*a^2+6*a-34 = 0

DELTA = 6^2-(-34*4*(5/8))

DELTA = 121

DELTA > 0

a = (121^(1/2)-6)/(2*(5/8)) or a = (-121^(1/2)-6)/(2*(5/8))

a = 4 or a = -68/5

a in { -68/5, 4} 

a in { -68/5, 4 }

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