x^2-8x-675=0

Solution for x^2-8x-675=0 equation:

x^2-8x-675=0

a = 1; b = -8; c = -675;
Δ = b2-4ac
Δ = -82-4·1·(-675)
Δ = 2764
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:

$\sqrt{\Delta}=\sqrt{2764}=\sqrt{4*691}=\sqrt{4}*\sqrt{691}=2\sqrt{691}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{691}}{2*1}=\frac{8-2\sqrt{691}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{691}}{2*1}=\frac{8+2\sqrt{691}}{2}
$