.5x^2=450

Solution for .5x^2=450 equation:

.5x^2=450

We move all terms to the left:

.5x^2-(450)=0

a = .5; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·.5·(-450)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*.5}=\frac{-30}{1}
=-30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*.5}=\frac{30}{1}
=30
$