x2+30x+104=0

Solution for x2+30x+104=0 equation:

x2+30x+104=0

We add all the numbers together, and all the variables

x^2+30x+104=0

a = 1; b = 30; c = +104;
Δ = b2-4ac
Δ = 302-4·1·104
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-22}{2*1}=\frac{-52}{2}
=-26
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+22}{2*1}=\frac{-8}{2}
=-4
$