1/6-((a-2)/2a)

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Solution for 1/6-((a-2)/2a) equation: 


a in (-oo:+oo)

1/6-(a*((a-2)/2)) = 0

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

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

1*2-1*6*a*(a-2) = 0

12*a-6*a^2+2 = 0

12*a-6*a^2+2 = 0

2*(6*a-3*a^2+1) = 0

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

DELTA = 6^2-(-3*1*4)

DELTA = 48

DELTA > 0

a = (48^(1/2)-6)/(-3*2) or a = (-48^(1/2)-6)/(-3*2)

a = (4*3^(1/2)-6)/(-6) or a = (-4*3^(1/2)-6)/(-6)

2*(a-((4*3^(1/2)-6)/(-6)))*(a-((-4*3^(1/2)-6)/(-6))) = 0

(2*(a-((4*3^(1/2)-6)/(-6)))*(a-((-4*3^(1/2)-6)/(-6))))/(2*6) = 0

(2*(a-((4*3^(1/2)-6)/(-6)))*(a-((-4*3^(1/2)-6)/(-6))))/(2*6) = 0 // * 2*6

2*(a-((4*3^(1/2)-6)/(-6)))*(a-((-4*3^(1/2)-6)/(-6))) = 0

( a-((-4*3^(1/2)-6)/(-6)) )

a-((-4*3^(1/2)-6)/(-6)) = 0 // + (-4*3^(1/2)-6)/(-6)

a = (-4*3^(1/2)-6)/(-6)

( a-((4*3^(1/2)-6)/(-6)) )

a-((4*3^(1/2)-6)/(-6)) = 0 // + (4*3^(1/2)-6)/(-6)

a = (4*3^(1/2)-6)/(-6)

a in { (-4*3^(1/2)-6)/(-6), (4*3^(1/2)-6)/(-6) }

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