4.5x^2=162

Solution for 4.5x^2=162 equation:

4.5x^2=162

We move all terms to the left:

4.5x^2-(162)=0

a = 4.5; b = 0; c = -162;
Δ = b2-4ac
Δ = 02-4·4.5·(-162)
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-54}{2*4.5}=\frac{-54}{9}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+54}{2*4.5}=\frac{54}{9}
=6
$