169x2-196=0

Solution for 169x2-196=0 equation:

169x^2-196=0

a = 169; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·169·(-196)
Δ = 132496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{132496}=364$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-364}{2*169}=\frac{-364}{338}
=-1+1/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+364}{2*169}=\frac{364}{338}
=1+1/13
$