169x^2=49

Solution for 169x^2=49 equation:

169x^2=49

We move all terms to the left:

169x^2-(49)=0

a = 169; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·169·(-49)
Δ = 33124
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33124}=182$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-182}{2*169}=\frac{-182}{338}
=-7/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+182}{2*169}=\frac{182}{338}
=7/13
$