81a2-63a+10=0

Solution for 81a2-63a+10=0 equation:

81a^2-63a+10=0

a = 81; b = -63; c = +10;
Δ = b2-4ac
Δ = -632-4·81·10
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-27}{2*81}=\frac{36}{162}
=2/9
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+27}{2*81}=\frac{90}{162}
=5/9
$