(x*x)*4,5=8

Solution for (x*x)*4,5=8 equation:

(x*x)*4.5=8

We move all terms to the left:

(x*x)*4.5-(8)=0

We add all the numbers together, and all the variables

(+x*x)*4.5-8=0

We multiply parentheses

4.5x^2-8=0

a = 4.5; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·4.5·(-8)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*4.5}=\frac{-12}{9}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*4.5}=\frac{12}{9}
=1+1/3
$