6t^2-t-1/3(t^2+1)=2

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Solution for 6t^2-t-1/3(t^2+1)=2 equation: 


t in (-oo:+oo)

6*t^2-((1/3)*(t^2+1))-t = 2 // - 2

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

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

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

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

17/3*t^2-t-2-1/3 = 0

17/3*t^2-t-7/3 = 0

17/3*t^2-t-7/3 = 0

17/3*t^2-t-7/3 = 0

DELTA = (-1)^2-(-7/3*4*17/3)

DELTA = 485/9

DELTA > 0

t = ((485/9)^(1/2)+1)/(2*17/3) or t = (1-(485/9)^(1/2))/(2*17/3)

t = 3/34*((485/9)^(1/2)+1) or t = 3/34*(1-(485/9)^(1/2))

(t-3/34*(1-(485/9)^(1/2)))*(t-3/34*((485/9)^(1/2)+1)) = 0

(t-3/34*(1-(485/9)^(1/2)))*(t-3/34*((485/9)^(1/2)+1)) = 0

( t-3/34*((485/9)^(1/2)+1) )

t-3/34*((485/9)^(1/2)+1) = 0 // + -3/34*((485/9)^(1/2)+1)

t = -(-3/34*((485/9)^(1/2)+1))

t = 3/34*((485/9)^(1/2)+1)

( t-3/34*(1-(485/9)^(1/2)) )

t-3/34*(1-(485/9)^(1/2)) = 0 // + -3/34*(1-(485/9)^(1/2))

t = -(-3/34*(1-(485/9)^(1/2)))

t = 3/34*(1-(485/9)^(1/2))

t in { 3/34*((485/9)^(1/2)+1), 3/34*(1-(485/9)^(1/2)) }

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