2a-3/a=-1

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Solution for 2a-3/a=-1 equation: 


D( a )

a = 0

a = 0

a = 0

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

2*a-(3/a) = -1 // + 1

2*a-(3/a)+1 = 0

2*a-3*a^-1+1 = 0

2*a^1-3*a^-1+1*a^0 = 0

(2*a^2+1*a^1-3*a^0)/(a^1) = 0 // * a^2

a^1*(2*a^2+1*a^1-3*a^0) = 0

a^1

2*a^2+a-3 = 0

2*a^2+a-3 = 0

DELTA = 1^2-(-3*2*4)

DELTA = 25

DELTA > 0

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

a = 1 or a = -3/2

a in { -3/2, 1} 

a in { -3/2, 1 }

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