a-(1/a)=21/10

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Solution for a-(1/a)=21/10 equation: 


D( a )

a = 0

a = 0

a = 0

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

a-(1/a) = 21/10 // - 21/10

a-(1/a)-(21/10) = 0

a-a^-1-21/10 = 0

1*a^1-1*a^-1-21/10*a^0 = 0

(1*a^2-21/10*a^1-1*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-21/10*a^1-1*a^0) = 0

a^1

a^2+(-21/10)*a-1 = 0

a^2+(-21/10)*a-1 = 0

DELTA = (-21/10)^2-(-1*1*4)

DELTA = 841/100

DELTA > 0

a = ((841/100)^(1/2)-(-21/10))/(1*2) or a = (-(-21/10)-(841/100)^(1/2))/(1*2)

a = 5/2 or a = -2/5

a in { -2/5, 5/2} 

a in { -2/5, 5/2 }

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