2.25-x2=3.6x

Solution for 2.25-x2=3.6x equation:

2.25-x2=3.6x

We move all terms to the left:

2.25-x2-(3.6x)=0

We add all the numbers together, and all the variables

-x2-(+3.6x)+2.25=0

We add all the numbers together, and all the variables

-1x^2-(+3.6x)+2.25=0

We get rid of parentheses

-1x^2-3.6x+2.25=0

a = -1; b = -3.6; c = +2.25;
Δ = b2-4ac
Δ = -3.62-4·(-1)·2.25
Δ = 21.96
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{-(-3.6)-\sqrt{21.96}}{2*-1}=\frac{3.6-\sqrt{21.96}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.6)+\sqrt{21.96}}{2*-1}=\frac{3.6+\sqrt{21.96}}{-2}
$