X^2-x-1122=0

Solution for X^2-x-1122=0 equation:

X^2-X-1122=0

We add all the numbers together, and all the variables

X^2-1X-1122=0

a = 1; b = -1; c = -1122;
Δ = b2-4ac
Δ = -12-4·1·(-1122)
Δ = 4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4489}=67$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-67}{2*1}=\frac{-66}{2}
=-33
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+67}{2*1}=\frac{68}{2}
=34
$