X2+21x+80=0

Solution for X2+21x+80=0 equation:

X2+21X+80=0

We add all the numbers together, and all the variables

X^2+21X+80=0

a = 1; b = 21; c = +80;
Δ = b2-4ac
Δ = 212-4·1·80
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-11}{2*1}=\frac{-32}{2}
=-16
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+11}{2*1}=\frac{-10}{2}
=-5
$