2x-3=1-2x+x2

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



2x-3=1-2x+x2
We move all terms to the left:
2x-3-(1-2x+x2)=0
We add all the numbers together, and all the variables
-(-2x+x^2+1)+2x-3=0
We get rid of parentheses
-x^2+2x+2x-1-3=0
We add all the numbers together, and all the variables
-1x^2+4x-4=0
a = -1; b = 4; c = -4;
Δ = b2-4ac
Δ = 42-4·(-1)·(-4)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-4}{-2}=+2$

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