2x^2+8x=x2-16

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Solution for 2x^2+8x=x2-16 equation:



2x^2+8x=x2-16
We move all terms to the left:
2x^2+8x-(x2-16)=0
We add all the numbers together, and all the variables
2x^2-(+x^2-16)+8x=0
We get rid of parentheses
2x^2-x^2+8x+16=0
We add all the numbers together, and all the variables
x^2+8x+16=0
a = 1; b = 8; c = +16;
Δ = b2-4ac
Δ = 82-4·1·16
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-8}{2}=-4$

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