1/(2a^2-4a-6)=(a+2)/(2a^2-4a-6)-1

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Solution for 1/(2a^2-4a-6)=(a+2)/(2a^2-4a-6)-1 equation:


D( a )

2*a^2-(4*a)-6 = 0

2*a^2-(4*a)-6 = 0

2*a^2-(4*a)-6 = 0

2*a^2-4*a-6 = 0

2*a^2-4*a-6 = 0

DELTA = (-4)^2-(-6*2*4)

DELTA = 64

DELTA > 0

a = (64^(1/2)+4)/(2*2) or a = (4-64^(1/2))/(2*2)

a = 3 or a = -1

a in (-oo:-1) U (-1:3) U (3:+oo)

1/(2*a^2-(4*a)-6) = (a+2)/(2*a^2-(4*a)-6)-1 // - (a+2)/(2*a^2-(4*a)-6)-1

1/(2*a^2-(4*a)-6)-((a+2)/(2*a^2-(4*a)-6))+1 = 0

1/(2*a^2-4*a-6)-((a+2)/(2*a^2-4*a-6))+1 = 0

1/(2*a^2-4*a-6)+(-1*(a+2))/(2*a^2-4*a-6)+1 = 0

2*a^2-4*a-6 = 0

2*a^2-4*a-6 = 0

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

a^2-2*a-3 = 0

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

DELTA = 16

DELTA > 0

a = (16^(1/2)+2)/(1*2) or a = (2-16^(1/2))/(1*2)

a = 3 or a = -1

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

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

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

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

2*a^2-a-4*a-6-1 = 0

2*a^2-5*a-7 = 0

2*a^2-5*a-7 = 0

2*a^2-5*a-7 = 0

DELTA = (-5)^2-(-7*2*4)

DELTA = 81

DELTA > 0

a = (81^(1/2)+5)/(2*2) or a = (5-81^(1/2))/(2*2)

a = 7/2 or a = -1

(a+1)*(a-7/2) = 0

((a+1)*(a-7/2))/(2*(a+1)*(a-3)) = 0

((a+1)*(a-7/2))/(2*(a+1)*(a-3)) = 0 // * 2*(a+1)*(a-3)

(a+1)*(a-7/2) = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a-7/2 )

a-7/2 = 0 // + 7/2

a = 7/2

a in { -1}

a = 7/2

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