0=279^2-x^2

Solution for 0=279^2-x^2 equation:

0=279^2-x^2

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

x^2-279^2=0

We add all the numbers together, and all the variables

x^2-77841=0

a = 1; b = 0; c = -77841;
Δ = b2-4ac
Δ = 02-4·1·(-77841)
Δ = 311364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{311364}=558$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-558}{2*1}=\frac{-558}{2}
=-279
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+558}{2*1}=\frac{558}{2}
=279
$