1/2t-t^2=1/2

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Solution for 1/2t-t^2=1/2 equation:



1/2t-t^2=1/2
We move all terms to the left:
1/2t-t^2-(1/2)=0
Domain of the equation: 2t!=0
t!=0/2
t!=0
t∈R
We add all the numbers together, and all the variables
-t^2+1/2t-(+1/2)=0
We add all the numbers together, and all the variables
-1t^2+1/2t-(+1/2)=0
We get rid of parentheses
-1t^2+1/2t-1/2=0
We calculate fractions
-1t^2=0
a = -1; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-1)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$t=\frac{-b}{2a}=\frac{0}{-2}=0$

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