4.8-1.8x=x^2

Solution for 4.8-1.8x=x^2 equation:

4.8-1.8x=x^2

We move all terms to the left:

4.8-1.8x-(x^2)=0

determiningTheFunctionDomain
-x^2-1.8x+4.8=0

We add all the numbers together, and all the variables

-1x^2-1.8x+4.8=0

a = -1; b = -1.8; c = +4.8;
Δ = b2-4ac
Δ = -1.82-4·(-1)·4.8
Δ = 22.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.8)-\sqrt{22.44}}{2*-1}=\frac{1.8-\sqrt{22.44}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{22.44}}{2*-1}=\frac{1.8+\sqrt{22.44}}{-2}
$