X^2+166x+1264=0

Solution for X^2+166x+1264=0 equation:

X^2+166X+1264=0

a = 1; b = 166; c = +1264;
Δ = b2-4ac
Δ = 1662-4·1·1264
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(166)-150}{2*1}=\frac{-316}{2}
=-158
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(166)+150}{2*1}=\frac{-16}{2}
=-8
$