81x^2-27x-10=0

Solution for 81x^2-27x-10=0 equation:

81x^2-27x-10=0

a = 81; b = -27; c = -10;
Δ = b2-4ac
Δ = -272-4·81·(-10)
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{-(-27)-63}{2*81}=\frac{-36}{162}
=-2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+63}{2*81}=\frac{90}{162}
=5/9
$