x*4x=1024

Solution for x*4x=1024 equation:

x*4x=1024

We move all terms to the left:

x*4x-(1024)=0

Wy multiply elements

4x^2-1024=0

a = 4; b = 0; c = -1024;
Δ = b2-4ac
Δ = 02-4·4·(-1024)
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128}{2*4}=\frac{-128}{8}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128}{2*4}=\frac{128}{8}
=16
$