x+x^2=2730

Solution for x+x^2=2730 equation:

x+x^2=2730

We move all terms to the left:

x+x^2-(2730)=0

a = 1; b = 1; c = -2730;
Δ = b2-4ac
Δ = 12-4·1·(-2730)
Δ = 10921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{10921}}{2*1}=\frac{-1-\sqrt{10921}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{10921}}{2*1}=\frac{-1+\sqrt{10921}}{2}
$