x^2=9(2x-9)

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Solution for x^2=9(2x-9) equation:



x^2=9(2x-9)
We move all terms to the left:
x^2-(9(2x-9))=0
We calculate terms in parentheses: -(9(2x-9)), so:
9(2x-9)
We multiply parentheses
18x-81
Back to the equation:
-(18x-81)
We get rid of parentheses
x^2-18x+81=0
a = 1; b = -18; c = +81;
Δ = b2-4ac
Δ = -182-4·1·81
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{18}{2}=9$

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