(X^2)+(x)=1872

Solution for (X^2)+(x)=1872 equation:

(X^2)+(X)=1872

We move all terms to the left:

(X^2)+(X)-(1872)=0

a = 1; b = 1; c = -1872;
Δ = b2-4ac
Δ = 12-4·1·(-1872)
Δ = 7489
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{7489}}{2*1}=\frac{-1-\sqrt{7489}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{7489}}{2*1}=\frac{-1+\sqrt{7489}}{2}
$