x2+x+2=3x+1

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Solution for x2+x+2=3x+1 equation: 



x2+x+2=3x+1

We move all terms to the left:

x2+x+2-(3x+1)=0

We add all the numbers together, and all the variables

x^2+x-(3x+1)+2=0

We get rid of parentheses

x^2+x-3x-1+2=0

We add all the numbers together, and all the variables

x^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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