(400-4t^2)/10-t

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Solution for (400-4t^2)/10-t equation: 


t in (-oo:+oo)

(400-(4*t^2))/10-t = 0

(400-4*t^2)/10-t = 0

(400-4*t^2)/10+(10*(-t))/10 = 0

10*(-t)-4*t^2+400 = 0

400-4*t^2-10*t = 0

400-4*t^2-10*t = 0

2*(200-2*t^2-5*t) = 0

200-2*t^2-5*t = 0

DELTA = (-5)^2-(-2*4*200)

DELTA = 1625

DELTA > 0

t = (1625^(1/2)+5)/(-2*2) or t = (5-1625^(1/2))/(-2*2)

t = (5*65^(1/2)+5)/(-4) or t = (5-5*65^(1/2))/(-4)

2*(t-((5*65^(1/2)+5)/(-4)))*(t-((5-5*65^(1/2))/(-4))) = 0

(2*(t-((5*65^(1/2)+5)/(-4)))*(t-((5-5*65^(1/2))/(-4))))/10 = 0

(2*(t-((5*65^(1/2)+5)/(-4)))*(t-((5-5*65^(1/2))/(-4))))/10 = 0 // * 10

2*(t-((5*65^(1/2)+5)/(-4)))*(t-((5-5*65^(1/2))/(-4))) = 0

( 2 )

2 = 0

t belongs to the empty set

( t-((5*65^(1/2)+5)/(-4)) )

t-((5*65^(1/2)+5)/(-4)) = 0 // + (5*65^(1/2)+5)/(-4)

t = (5*65^(1/2)+5)/(-4)

( t-((5-5*65^(1/2))/(-4)) )

t-((5-5*65^(1/2))/(-4)) = 0 // + (5-5*65^(1/2))/(-4)

t = (5-5*65^(1/2))/(-4)

t in { (5*65^(1/2)+5)/(-4), (5-5*65^(1/2))/(-4) }

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