x^2-168=3313

Solution for x^2-168=3313 equation:

x^2-168=3313

We move all terms to the left:

x^2-168-(3313)=0

We add all the numbers together, and all the variables

x^2-3481=0

a = 1; b = 0; c = -3481;
Δ = b2-4ac
Δ = 02-4·1·(-3481)
Δ = 13924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13924}=118$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-118}{2*1}=\frac{-118}{2}
=-59
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+118}{2*1}=\frac{118}{2}
=59
$