13x^2=208

Solution for 13x^2=208 equation:

13x^2=208

We move all terms to the left:

13x^2-(208)=0

a = 13; b = 0; c = -208;
Δ = b2-4ac
Δ = 02-4·13·(-208)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-104}{2*13}=\frac{-104}{26}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+104}{2*13}=\frac{104}{26}
=4
$