x2+3=(x+1)2

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



x2+3=(x+1)2
We move all terms to the left:
x2+3-((x+1)2)=0
We add all the numbers together, and all the variables
x^2-((x+1)2)+3=0
We calculate terms in parentheses: -((x+1)2), so:
(x+1)2
We multiply parentheses
2x+2
Back to the equation:
-(2x+2)
We get rid of parentheses
x^2-2x-2+3=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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