4x^2=8^6

Solution for 4x^2=8^6 equation:

4x^2=8^6

We move all terms to the left:

4x^2-(8^6)=0

We add all the numbers together, and all the variables

4x^2-262144=0

a = 4; b = 0; c = -262144;
Δ = b2-4ac
Δ = 02-4·4·(-262144)
Δ = 4194304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4194304}=2048$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2048}{2*4}=\frac{-2048}{8}
=-256
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2048}{2*4}=\frac{2048}{8}
=256
$