4x^2=160000

Solution for 4x^2=160000 equation:

4x^2=160000

We move all terms to the left:

4x^2-(160000)=0

a = 4; b = 0; c = -160000;
Δ = b2-4ac
Δ = 02-4·4·(-160000)
Δ = 2560000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2560000}=1600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1600}{2*4}=\frac{-1600}{8}
=-200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1600}{2*4}=\frac{1600}{8}
=200
$