X^2+8x-825=0

Solution for X^2+8x-825=0 equation:

X^2+8X-825=0

a = 1; b = 8; c = -825;
Δ = b2-4ac
Δ = 82-4·1·(-825)
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-58}{2*1}=\frac{-66}{2}
=-33
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+58}{2*1}=\frac{50}{2}
=25
$