544.5=4.5x^2

Solution for 544.5=4.5x^2 equation:

544.5=4.5x^2

We move all terms to the left:

544.5-(4.5x^2)=0

We get rid of parentheses

-4.5x^2+544.5=0

a = -4.5; b = 0; c = +544.5;
Δ = b2-4ac
Δ = 02-4·(-4.5)·544.5
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-99}{2*-4.5}=\frac{-99}{-9}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+99}{2*-4.5}=\frac{99}{-9}
=-11
$