5x^2-2x-325=0

Solution for 5x^2-2x-325=0 equation:

5x^2-2x-325=0

a = 5; b = -2; c = -325;
Δ = b2-4ac
Δ = -22-4·5·(-325)
Δ = 6504
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:

$\sqrt{\Delta}=\sqrt{6504}=\sqrt{4*1626}=\sqrt{4}*\sqrt{1626}=2\sqrt{1626}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{1626}}{2*5}=\frac{2-2\sqrt{1626}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{1626}}{2*5}=\frac{2+2\sqrt{1626}}{10}
$