4x^2=10^6

Solution for 4x^2=10^6 equation:

4x^2=10^6

We move all terms to the left:

4x^2-(10^6)=0

We add all the numbers together, and all the variables

4x^2-1000000=0

a = 4; b = 0; c = -1000000;
Δ = b2-4ac
Δ = 02-4·4·(-1000000)
Δ = 16000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16000000}=4000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000}{2*4}=\frac{-4000}{8}
=-500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000}{2*4}=\frac{4000}{8}
=500
$