x(2)+x=279

Solution for x(2)+x=279 equation:

x(2)+x=279

We move all terms to the left:

x(2)+x-(279)=0

We add all the numbers together, and all the variables

x^2+x-279=0

a = 1; b = 1; c = -279;
Δ = b2-4ac
Δ = 12-4·1·(-279)
Δ = 1117
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{1117}}{2*1}=\frac{-1-\sqrt{1117}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1117}}{2*1}=\frac{-1+\sqrt{1117}}{2}
$