(46)^2=4x^2=2116

Solution for (46)^2=4x^2=2116 equation:

(46)^2=4x^2=2116

We move all terms to the left:

(46)^2-(4x^2)=0

We add all the numbers together, and all the variables

-4x^2+2116=0

a = -4; b = 0; c = +2116;
Δ = b2-4ac
Δ = 02-4·(-4)·2116
Δ = 33856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33856}=184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-184}{2*-4}=\frac{-184}{-8}
=+23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+184}{2*-4}=\frac{184}{-8}
=-23
$