5684=29x^2

Solution for 5684=29x^2 equation:

5684=29x^2

We move all terms to the left:

5684-(29x^2)=0

a = -29; b = 0; c = +5684;
Δ = b2-4ac
Δ = 02-4·(-29)·5684
Δ = 659344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{659344}=812$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-812}{2*-29}=\frac{-812}{-58}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+812}{2*-29}=\frac{812}{-58}
=-14
$