81x^2+81x+8=0

Solution for 81x^2+81x+8=0 equation:

81x^2+81x+8=0

a = 81; b = 81; c = +8;
Δ = b2-4ac
Δ = 812-4·81·8
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-63}{2*81}=\frac{-144}{162}
=-8/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+63}{2*81}=\frac{-18}{162}
=-1/9
$