81x^2+27x+2=0

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Solution for 81x^2+27x+2=0 equation:



81x^2+27x+2=0
a = 81; b = 27; c = +2;
Δ = b2-4ac
Δ = 272-4·81·2
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-9}{2*81}=\frac{-36}{162} =-2/9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+9}{2*81}=\frac{-18}{162} =-1/9 $

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