44x+x^2=1280

Solution for 44x+x^2=1280 equation:

44x+x^2=1280

We move all terms to the left:

44x+x^2-(1280)=0

a = 1; b = 44; c = -1280;
Δ = b2-4ac
Δ = 442-4·1·(-1280)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-84}{2*1}=\frac{-128}{2}
=-64
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+84}{2*1}=\frac{40}{2}
=20
$