81x2=169

Solution for 81x2=169 equation:

81x^2=169

We move all terms to the left:

81x^2-(169)=0

a = 81; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·81·(-169)
Δ = 54756
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{54756}=234$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-234}{2*81}=\frac{-234}{162}
=-1+4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+234}{2*81}=\frac{234}{162}
=1+4/9
$