24x^2=960000

Solution for 24x^2=960000 equation:

24x^2=960000

We move all terms to the left:

24x^2-(960000)=0

a = 24; b = 0; c = -960000;
Δ = b2-4ac
Δ = 02-4·24·(-960000)
Δ = 92160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{92160000}=9600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-9600}{2*24}=\frac{-9600}{48}
=-200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+9600}{2*24}=\frac{9600}{48}
=200
$