2x=x2+1

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Solution for 2x=x2+1 equation:



2x=x2+1
We move all terms to the left:
2x-(x2+1)=0
We add all the numbers together, and all the variables
-(+x^2+1)+2x=0
We get rid of parentheses
-x^2+2x-1=0
We add all the numbers together, and all the variables
-1x^2+2x-1=0
a = -1; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·(-1)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-2}{-2}=1$

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