36x^2-108x+81=

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Solution for 36x^2-108x+81= equation:



36x^2-108x+81=
We move all terms to the left:
36x^2-108x+81-()=0
We add all the numbers together, and all the variables
36x^2-108x=0
a = 36; b = -108; c = 0;
Δ = b2-4ac
Δ = -1082-4·36·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-108}{2*36}=\frac{0}{72} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+108}{2*36}=\frac{216}{72} =3 $

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