x^2-169x+15=0

Solution for x^2-169x+15=0 equation:

x^2-169x+15=0

a = 1; b = -169; c = +15;
Δ = b2-4ac
Δ = -1692-4·1·15
Δ = 28501
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-169)-\sqrt{28501}}{2*1}=\frac{169-\sqrt{28501}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-169)+\sqrt{28501}}{2*1}=\frac{169+\sqrt{28501}}{2}
$