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D( t )
2*t^9+12*t^8+7*t^7 = 0
2*t^9+12*t^8+7*t^7 = 0
2*t^9+12*t^8+7*t^7 = 0
2*t^9+12*t^8+7*t^7 = 0
t^7*(2*t^2+12*t+7) = 0
2*t^2+12*t+7 = 0
DELTA = 12^2-(2*4*7)
DELTA = 88
DELTA > 0
t = (88^(1/2)-12)/(2*2) or t = (-88^(1/2)-12)/(2*2)
t = (2*22^(1/2)-12)/4 or t = (-2*22^(1/2)-12)/4
t^7 = 0
1*t^7 = 0 // : 1
t^7 = 0
t = 0
t in (-oo:(-2*22^(1/2)-12)/4) U ((-2*22^(1/2)-12)/4:(2*22^(1/2)-12)/4) U ((2*22^(1/2)-12)/4:0) U (0:+oo)
(2*t^3+12*t^2+16*t)/(2*t^9+12*t^8+7*t^7) = 0
2*t^3+12*t^2+16*t = 0
2*t*(t^2+6*t+8) = 0
t^2+6*t+8 = 0
DELTA = 6^2-(1*4*8)
DELTA = 4
DELTA > 0
t = (4^(1/2)-6)/(1*2) or t = (-4^(1/2)-6)/(1*2)
t = -2 or t = -4
2*t*(t+4)*(t+2) = 0
2*t^9+12*t^8+7*t^7 = 0
t^7*(2*t^2+12*t+7) = 0
2*t^2+12*t+7 = 0
DELTA = 12^2-(2*4*7)
DELTA = 88
DELTA > 0
t = (88^(1/2)-12)/(2*2) or t = (-88^(1/2)-12)/(2*2)
t = (2*22^(1/2)-12)/4 or t = (-2*22^(1/2)-12)/4
t^7*(t-((-2*22^(1/2)-12)/4))*(t-((2*22^(1/2)-12)/4)) = 0
(2*t*(t+4)*(t+2))/(t^7*(t-((-2*22^(1/2)-12)/4))*(t-((2*22^(1/2)-12)/4))) = 0
( 2*t )
2*t = 0 // : 2
t = 0
( t+2 )
t+2 = 0 // - 2
t = -2
( t+4 )
t+4 = 0 // - 4
t = -4
t in { 0}
t in { -2, -4 }
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