8x^2-73x+204=4+7x

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Solution for 8x^2-73x+204=4+7x equation:



8x^2-73x+204=4+7x
We move all terms to the left:
8x^2-73x+204-(4+7x)=0
We add all the numbers together, and all the variables
8x^2-73x-(7x+4)+204=0
We get rid of parentheses
8x^2-73x-7x-4+204=0
We add all the numbers together, and all the variables
8x^2-80x+200=0
a = 8; b = -80; c = +200;
Δ = b2-4ac
Δ = -802-4·8·200
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{80}{16}=5$

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