169x^2=1

Solution for 169x^2=1 equation:

169x^2=1

We move all terms to the left:

169x^2-(1)=0

a = 169; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·169·(-1)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26}{2*169}=\frac{-26}{338}
=-1/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26}{2*169}=\frac{26}{338}
=1/13
$