81p2-2=98

Solution for 81p2-2=98 equation:

81p^2-2=98

We move all terms to the left:

81p^2-2-(98)=0

We add all the numbers together, and all the variables

81p^2-100=0

a = 81; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·81·(-100)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*81}=\frac{-180}{162}
=-1+1/9
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*81}=\frac{180}{162}
=1+1/9
$