(x^2)-8x-29=0

Solution for (x^2)-8x-29=0 equation:

(x^2)-8x-29=0

a = 1; b = -8; c = -29;
Δ = b2-4ac
Δ = -82-4·1·(-29)
Δ = 180
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:

$\sqrt{\Delta}=\sqrt{180}=\sqrt{36*5}=\sqrt{36}*\sqrt{5}=6\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-6\sqrt{5}}{2*1}=\frac{8-6\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+6\sqrt{5}}{2*1}=\frac{8+6\sqrt{5}}{2}
$