169x^2-169x-36=0

Solution for 169x^2-169x-36=0 equation:

169x^2-169x-36=0

a = 169; b = -169; c = -36;
Δ = b2-4ac
Δ = -1692-4·169·(-36)
Δ = 52897
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{52897}=\sqrt{169*313}=\sqrt{169}*\sqrt{313}=13\sqrt{313}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-169)-13\sqrt{313}}{2*169}=\frac{169-13\sqrt{313}}{338}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-169)+13\sqrt{313}}{2*169}=\frac{169+13\sqrt{313}}{338}
$