2x*x=45000

Solution for 2x*x=45000 equation:

2x*x=45000

We move all terms to the left:

2x*x-(45000)=0

Wy multiply elements

2x^2-45000=0

a = 2; b = 0; c = -45000;
Δ = b2-4ac
Δ = 02-4·2·(-45000)
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600}{2*2}=\frac{-600}{4}
=-150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600}{2*2}=\frac{600}{4}
=150
$