169x^2=25

Solution for 169x^2=25 equation:

169x^2=25

We move all terms to the left:

169x^2-(25)=0

a = 169; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·169·(-25)
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-130}{2*169}=\frac{-130}{338}
=-5/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+130}{2*169}=\frac{130}{338}
=5/13
$