x2+11x+121=x+96

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Solution for x2+11x+121=x+96 equation:



x2+11x+121=x+96
We move all terms to the left:
x2+11x+121-(x+96)=0
We add all the numbers together, and all the variables
x^2+11x-(x+96)+121=0
We get rid of parentheses
x^2+11x-x-96+121=0
We add all the numbers together, and all the variables
x^2+10x+25=0
a = 1; b = 10; c = +25;
Δ = b2-4ac
Δ = 102-4·1·25
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-10}{2}=-5$

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